{"id":5012,"date":"2016-05-19T11:49:00","date_gmt":"2016-05-19T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-9-maths-exercise-2-5\/"},"modified":"2018-06-18T10:13:56","modified_gmt":"2018-06-18T04:43:56","slug":"ncert-solutions-for-class-9-maths-exercise-2-5","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Exercise 2.5"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#_NCERT_Solutions_for_Class_9_Maths_Polynomials\" >\u00a0NCERT Solutions for Class 9 Maths\u00a0Polynomials<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#1_Use_suitable_identities_to_find_the_following_products\" >1. Use suitable identities to find the following products:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#2Evaluate_the_following_products_without_multiplying_directly\" >2.Evaluate the following products without multiplying directly:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#3Factorize_the_following_using_appropriate_identities\" >3.Factorize the following using appropriate identities:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#4Expand_each_of_the_following_using_suitable_identities\" >4.Expand each of the following, using suitable identities:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#iv\" >(iv)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#We_know_that\" >We know that.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#vi\" >(vi)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#5_Factorize\" >5. Factorize:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii-2\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#6_Write_the_following_cubes_in_expanded_form\" >6. Write the following cubes in expanded form:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii-3\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#iv-2\" >(iv)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#7_Evaluate_the_following_using_suitable_identities\" >7. Evaluate the following using suitable identities:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii-4\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#iii\" >(iii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#8_Factorize_each_of_the_following\" >8. Factorize each of the following:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii-5\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#iii-2\" >(iii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#9_Verify\" >9. Verify:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#ii-6\" >(ii)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#10_Factorize\" >10. Factorize:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-24\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#11_Factorize\" >11. Factorize:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-25\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#12_Verify_that\" >12. Verify that<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-26\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#13_If_show_that\" >13. If, show that.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-27\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#14Without_actually_calculating_the_cubes_find_the_value_of_each_of_the_following\" >14.Without actually calculating the cubes, find the value of each of the following:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-28\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#15Give_possible_expressions_for_the_length_and_breadth_of_each_of_the_following_rectangles_in_which_their_areas_are_given\" >15.Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-29\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#Therefore_we_can_conclude_that_a_possible_expression_for_the_length_and_breadth_of_a_rectangle_of_areais\" >Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of areais.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-30\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#16What_are_the_possible_expressions_for_the_dimensions_of_the_cuboids_whose_volumes_are_given_below\" >16.What are the possible expressions for the dimensions of the cuboids whose volumes are given below?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-31\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#Therefore_we_can_conclude_that_a_possible_expression_for_the_dimension_of_a_cuboid_of_volumeis\" >Therefore, we can conclude that a possible expression for the dimension of a cuboid of volumeis.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-32\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#NCERT_Solutions_for_Class_9_Maths_Exercise_25\" >NCERT Solutions for Class 9 Maths Exercise 2.5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-33\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/#CBSE_app_for_Class_9\" >CBSE app for Class 9<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 9 Maths Exercise 2.5 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter wise NCERT solution for Maths Book for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 9 Maths\u00a0Polynomials\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-09-mathematics-polynomials\/1236\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/09_Class_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 9 Maths Exercise 2.5\" width=\"161\" height=\"207\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"_NCERT_Solutions_for_Class_9_Maths_Polynomials\"><\/span>\u00a0NCERT Solutions for Class 9 Maths\u00a0Polynomials<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"1_Use_suitable_identities_to_find_the_following_products\"><\/span><strong>1. Use suitable identities to find the following products:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 27px; width: 98px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image001.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <img decoding=\"async\" style=\"height: 27px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image002.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <img decoding=\"async\" style=\"height: 27px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image003.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <img decoding=\"async\" style=\"height: 45px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image004.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<img decoding=\"async\" style=\"height: 27px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image005.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 27px; width: 98px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 26px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image006.png\" \/><img decoding=\"async\" style=\"height: 27px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image007.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to find the product<img decoding=\"async\" style=\"height: 27px; width: 98px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image001.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 98px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image008.png\" \/><img decoding=\"async\" style=\"height: 26px; width: 167px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image009.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image010.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the product<img decoding=\"async\" style=\"height: 27px; width: 98px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image001.png\" \/>is<img decoding=\"async\" style=\"height: 21px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image011.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii) <\/strong><img decoding=\"async\" style=\"height: 27px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 26px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image006.png\" \/><img decoding=\"async\" style=\"height: 27px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image007.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to find the product<img decoding=\"async\" style=\"height: 27px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image002.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image012.png\" \/>=<img decoding=\"async\" style=\"height: 29px; width: 203px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image013.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 96px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image014.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the product<img decoding=\"async\" style=\"height: 27px; width: 97px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image002.png\" \/>is<img decoding=\"async\" style=\"height: 21px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image015.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <\/strong><img decoding=\"async\" style=\"height: 27px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 26px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image006.png\" \/><img decoding=\"async\" style=\"height: 27px; width: 130px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image007.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to find the product<img decoding=\"async\" style=\"height: 27px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image003.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 118px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image016.png\" \/><img decoding=\"async\" style=\"height: 31px; width: 215px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image017.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image018.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the product<img decoding=\"async\" style=\"height: 27px; width: 105px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image003.png\" \/>is<img decoding=\"async\" style=\"height: 21px; width: 87px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image019.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(iv) <\/strong><img decoding=\"async\" style=\"height: 45px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image004.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 27px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image020.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to find the product<img decoding=\"async\" style=\"height: 46px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image021.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 44px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image022.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 49px; width: 161px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the product<img decoding=\"async\" style=\"height: 46px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image021.png\" \/>is<img decoding=\"async\" style=\"height: 46px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image024.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(v) <\/strong><img decoding=\"async\" style=\"height: 27px; width: 106px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image025.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 27px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image020.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to find the product<img decoding=\"async\" style=\"height: 27px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image026.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 195px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image027.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 65px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image028.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the product<img decoding=\"async\" style=\"height: 27px; width: 107px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image026.png\" \/>is<img decoding=\"async\" style=\"height: 29px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image029.png\" \/>.<\/p>\n<hr \/>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"2Evaluate_the_following_products_without_multiplying_directly\"><\/span><strong>2.Evaluate the following products without multiplying directly:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 18px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image030.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 19px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image031.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 19px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image032.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 18px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image030.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 27px; width: 323px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image033.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 27px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image035.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image036.png\" \/><\/p>\n<p style=\"text-align: justify;\">=10000+1000+21<\/p>\n<p style=\"text-align: justify;\">=11021<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the value of the product<img decoding=\"async\" style=\"height: 19px; width: 61px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image037.png\" \/>is<img decoding=\"async\" style=\"height: 19px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image038.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 19px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image039.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 27px; width: 305px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image040.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 27px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image034.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 131px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image041.png\" \/><img decoding=\"async\" style=\"height: 31px; width: 268px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image042.png\" \/><\/p>\n<p style=\"text-align: justify;\">=10000-900+20<\/p>\n<p style=\"text-align: justify;\">=9120<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the value of the product<img decoding=\"async\" style=\"height: 19px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image039.png\" \/>is <img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image043.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii) <\/strong><img decoding=\"async\" style=\"height: 18px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image044.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 27px; width: 317px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image045.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 27px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image020.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 27px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image046.png\" \/>, to get<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image047.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image048.png\" \/><\/p>\n<p style=\"text-align: justify;\">=10000-16<\/p>\n<p style=\"text-align: justify;\">=9984<\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that the value of the product<img decoding=\"async\" style=\"height: 18px; width: 55px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image044.png\" \/>is<img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image049.png\" \/>.<\/p>\n<hr \/>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3Factorize_the_following_using_appropriate_identities\"><\/span><strong>3.Factorize the following using appropriate identities:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 23px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image050.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 25px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image051.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 44px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image052.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 23px; width: 94px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image050.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 254px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image053.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 29px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image054.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image055.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 232px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image056.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 25px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image051.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 238px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image057.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 29px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image058.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image055.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 225px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image059.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 44px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image052.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 29px; width: 180px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image060.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image055.png\" \/><img decoding=\"async\" style=\"height: 49px; width: 218px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image061.png\" \/><\/p>\n<hr \/>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"4Expand_each_of_the_following_using_suitable_identities\"><\/span><strong>4.Expand each of the following, using suitable identities:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 29px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image062.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 29px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image063.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 29px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image064.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<img decoding=\"async\" style=\"height: 29px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image065.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<img decoding=\"async\" style=\"height: 29px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image066.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(vi)<img decoding=\"async\" style=\"height: 49px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image067.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image062.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to expand the expression<img decoding=\"async\" style=\"height: 29px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image062.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 55px; width: 461px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image069.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image063.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to expand the expression<img decoding=\"async\" style=\"height: 29px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image063.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 87px; width: 477px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image070.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image064.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to expand the expression<img decoding=\"async\" style=\"height: 29px; width: 109px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image064.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 87px; width: 546px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image071.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"iv\"><\/span><strong>(iv)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image065.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to apply the above identity to expand the expression<img decoding=\"async\" style=\"height: 29px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image065.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 87px; width: 551px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image072.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image066.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"We_know_that\"><\/span>We know that<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We need to apply the above identity to expand the expression<img decoding=\"async\" style=\"height: 29px; width: 108px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image066.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 87px; width: 490px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image073.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"vi\"><\/span><strong>(vi)<\/strong><img decoding=\"async\" style=\"height: 49px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image067.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 91px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image074.png\" \/><img decoding=\"async\" style=\"height: 24px; width: 192px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image075.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 1\" style=\"height: 120px; width: 322px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image076.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"5_Factorize\"><\/span><strong>5. Factorize:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 23px; width: 242px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image077.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 26px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image078.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 23px; width: 242px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image077.png\" \/><\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 24px; width: 243px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image079.png\" \/> can also be written as<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 431px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image080.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 29px; width: 430px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image081.png\" \/>, to get<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image082.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that after factorizing the expression<img decoding=\"async\" style=\"height: 23px; width: 242px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image077.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image082.png\" \/>.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii-2\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 26px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image078.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We need to factorize the expression<img decoding=\"async\" style=\"height: 26px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image078.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 25px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image083.png\" \/> can also be written as<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 36px; width: 526px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image084.png\" \/><\/p>\n<p style=\"text-align: justify;\">We can observe that, we can apply the identity<img decoding=\"async\" style=\"height: 29px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image068.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 36px; width: 522px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image085.png\" \/>, to get<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 36px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image086.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that after factorizing the expression<img decoding=\"async\" style=\"height: 26px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image078.png\" \/>, we get<img decoding=\"async\" style=\"height: 36px; width: 132px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image086.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"6_Write_the_following_cubes_in_expanded_form\"><\/span><strong>6. Write the following cubes in expanded form:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 29px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image087.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 29px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image088.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 49px; width: 66px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image089.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<img decoding=\"async\" style=\"height: 49px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image090.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image087.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image091.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 81px; width: 278px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image092.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the expansion of the expression<img decoding=\"async\" style=\"height: 29px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image087.png\" \/>is <img decoding=\"async\" style=\"height: 21px; width: 120px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image093.png\" \/>.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii-3\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image088.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 81px; width: 317px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image095.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the expansion of the expression<img decoding=\"async\" style=\"height: 29px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image088.png\" \/>is <img decoding=\"async\" style=\"height: 21px; width: 174px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image096.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 49px; width: 66px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image089.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image091.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 138px; width: 305px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image097.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the expansion of the expression<img decoding=\"async\" style=\"height: 49px; width: 66px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image089.png\" \/>is<img decoding=\"async\" style=\"height: 41px; width: 145px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image098.png\" \/>.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"iv-2\"><\/span><strong>(iv)<\/strong><img decoding=\"async\" style=\"height: 49px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image090.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 139px; width: 321px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image099.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the expansion of the expression<img decoding=\"async\" style=\"height: 49px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image090.png\" \/>is<img decoding=\"async\" style=\"height: 41px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image100.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"7_Evaluate_the_following_using_suitable_identities\"><\/span><strong>7. Evaluate the following using suitable identities:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 29px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image101.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 29px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image102.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 29px; width: 46px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image103.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 37px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image101.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 247px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image104.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity, <img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image105.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 212px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image106.png\" \/><\/p>\n<p style=\"text-align: justify;\">=1000000-1-300(99)<\/p>\n<p style=\"text-align: justify;\">=999999-29700<\/p>\n<p style=\"text-align: justify;\">=970299<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii-4\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 44px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image102.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 258px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image107.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image091.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image108.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image109.png\" \/><\/p>\n<p style=\"text-align: justify;\">=1000000+8+600(102)<\/p>\n<p style=\"text-align: justify;\">=1000008+61200<\/p>\n<p style=\"text-align: justify;\">=1061208<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"iii\"><\/span><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 46px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image103.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 266px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image110.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image111.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 246px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image112.png\" \/><\/p>\n<p style=\"text-align: justify;\">=1000000000-8-6000(998)<\/p>\n<p style=\"text-align: justify;\">=999999992-5988000<\/p>\n<p style=\"text-align: justify;\">=994011992<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"8_Factorize_each_of_the_following\"><\/span><strong>8. Factorize each of the following:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 21px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image113.png\" \/>(ii)<img decoding=\"async\" style=\"height: 21px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image114.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(iii)<img decoding=\"async\" style=\"height: 21px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image115.png\" \/>(iv)<img decoding=\"async\" style=\"height: 18px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image116.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(v)<img decoding=\"async\" style=\"height: 41px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image117.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans.(i)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image113.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 86px; width: 398px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image118.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image091.png\" \/>withrespect to the expression<img decoding=\"async\" style=\"height: 29px; width: 204px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image119.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image120.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Therefore, after factorizing the expression<img decoding=\"async\" style=\"height: 21px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image113.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image120.png\" \/>.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii-5\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image114.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 86px; width: 395px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image121.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 29px; width: 204px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image122.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image123.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Therefore, after factorizing the expression<img decoding=\"async\" style=\"height: 21px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image114.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image123.png\" \/>.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"iii-2\"><\/span><strong>(iii)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image115.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 22px; width: 169px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image124.png\" \/> can also be written as<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 58px; width: 276px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image125.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image126.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image127.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Therefore, after factorizing the expression<img decoding=\"async\" style=\"height: 21px; width: 170px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image115.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image127.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(iv)<\/strong><img decoding=\"async\" style=\"height: 19px; width: 229px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image128.png\" \/><\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 22px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image129.png\" \/> can also be written as<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 58px; width: 310px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image130.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 29px; width: 225px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image131.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image132.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Therefore, after factorizing the expression<img decoding=\"async\" style=\"height: 18px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image116.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image132.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><strong>(v)<\/strong><img decoding=\"async\" style=\"height: 41px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image117.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 41px; width: 406px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image133.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 97px; width: 300px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image134.png\" \/><\/p>\n<p style=\"text-align: justify;\">Using identity<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>with respect to the expression<img decoding=\"async\" style=\"height: 49px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image135.png\" \/>, to get<img decoding=\"async\" style=\"height: 49px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image136.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">Therefore, after factorizing the expression<img decoding=\"async\" style=\"height: 41px; width: 160px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image117.png\" \/>, we get<img decoding=\"async\" style=\"height: 49px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image136.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"9_Verify\"><\/span><strong>9. Verify:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image137.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image138.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image137.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image091.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image139.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image140.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 166px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image141.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 14px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image142.png\" \/>We know that<img decoding=\"async\" style=\"height: 29px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image054.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image143.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 183px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image144.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image145.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the desired result has been verified.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"ii-6\"><\/span><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image138.png\" \/><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image094.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image146.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image147.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 34px; width: 166px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image148.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 14px; width: 14px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image142.png\" \/>We know that <img decoding=\"async\" style=\"height: 29px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image058.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image149.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 183px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image150.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 150px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image151.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the desired result has been verified.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"10_Factorize\"><\/span><strong>10. Factorize:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 23px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image152.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 21px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image153.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 23px; width: 85px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image152.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 425px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image154.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 199px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image137.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image155.png\" \/><img decoding=\"async\" style=\"height: 34px; width: 221px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image156.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 206px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image157.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image153.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 432px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image158.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 198px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image138.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">.<img decoding=\"async\" style=\"height: 66px; width: 340px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image159.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that after factorizing the expression<img decoding=\"async\" style=\"height: 21px; width: 89px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image153.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 211px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image160.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"11_Factorize\"><\/span><strong>11. Factorize: <img decoding=\"async\" style=\"height: 23px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image161.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong><img decoding=\"async\" style=\"height: 24px; width: 385px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image162.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 214px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image163.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 378px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image164.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 67px; width: 595px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image165.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we conclude that after factorizing the expression<img decoding=\"async\" style=\"height: 23px; width: 137px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image161.png\" \/>, we get<img decoding=\"async\" style=\"height: 29px; width: 276px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image166.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"12_Verify_that\"><\/span><strong>12. Verify that<img decoding=\"async\" style=\"height: 40px; width: 410px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image167.png\" \/><\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong><img decoding=\"async\" style=\"height: 41px; width: 529px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image168.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that<img decoding=\"async\" style=\"height: 29px; width: 378px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image164.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">And also, we know that<img decoding=\"async\" style=\"height: 29px; width: 153px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image058.png\" \/>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 160px; width: 412px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image169.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we can conclude that the desired result is verified.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"13_If_show_that\"><\/span><strong>13. If<img decoding=\"async\" style=\"height: 21px; width: 83px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image170.png\" \/>, show that<img decoding=\"async\" style=\"height: 25px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image171.png\" \/>.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>Ans. <\/strong>We know that<img decoding=\"async\" style=\"height: 29px; width: 378px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image164.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">We need to substitute<img decoding=\"async\" style=\"height: 25px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image171.png\" \/>in<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 378px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image164.png\" \/>, to get<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 114px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image172.png\" \/>=(0)=<img decoding=\"async\" style=\"height: 29px; width: 184px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image173.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 144px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image174.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 144px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image175.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, the desired result is verified.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"14Without_actually_calculating_the_cubes_find_the_value_of_each_of_the_following\"><\/span><strong>14.Without actually calculating the cubes, find the value of each of the following:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 29px; width: 126px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image176.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 29px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image177.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 126px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image176.png\" \/><\/p>\n<p style=\"text-align: justify;\">Let <img decoding=\"async\" style=\"height: 21px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image178.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image179.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that, if <img decoding=\"async\" style=\"height: 21px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image180.png\" \/> then <img decoding=\"async\" style=\"height: 21px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image181.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here,<img decoding=\"async\" style=\"height: 19px; width: 165px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image182.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image183.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 236px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image184.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 19px; width: 45px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image185.png\" \/><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 29px; width: 152px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image177.png\" \/><\/p>\n<p style=\"text-align: justify;\">Let <img decoding=\"async\" style=\"height: 21px; width: 99px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image186.png\" \/> and <img decoding=\"async\" style=\"height: 19px; width: 52px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image187.png\" \/><\/p>\n<p style=\"text-align: justify;\">We know that, if <img decoding=\"async\" style=\"height: 21px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image180.png\" \/> then <img decoding=\"async\" style=\"height: 21px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image181.png\" \/><\/p>\n<p style=\"text-align: justify;\">Here,<img decoding=\"async\" style=\"height: 19px; width: 169px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image188.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image183.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 284px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image189.png\" \/><\/p>\n<p style=\"text-align: justify;\">= <img decoding=\"async\" style=\"height: 19px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image190.png\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"15Give_possible_expressions_for_the_length_and_breadth_of_each_of_the_following_rectangles_in_which_their_areas_are_given\"><\/span><strong>15.Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 22px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image191.png\" \/><\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 24px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image192.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 146px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image193.png\" \/><\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 22px; width: 102px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image194.png\" \/> can also be written as <img decoding=\"async\" style=\"height: 22px; width: 144px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image195.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 22px; width: 140px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image196.png\" \/><img decoding=\"async\" style=\"height: 26px; width: 158px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image197.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 122px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image198.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Therefore_we_can_conclude_that_a_possible_expression_for_the_length_and_breadth_of_a_rectangle_of_areais\"><\/span>Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of area<img decoding=\"async\" style=\"height: 21px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image199.png\" \/>is<img decoding=\"async\" style=\"height: 27px; width: 267px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image200.png\" \/>.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 23px; width: 146px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image201.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 25px; width: 488px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image202.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 24px; width: 141px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image203.png\" \/><img decoding=\"async\" style=\"height: 26px; width: 163px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image204.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 125px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image205.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we can conclude that a possible expression for the length and breadth of a rectangle of area<img decoding=\"async\" style=\"height: 23px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image206.png\" \/>is<img decoding=\"async\" style=\"height: 27px; width: 269px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image207.png\" \/>.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 9 Maths Exercise 2.5<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"16What_are_the_possible_expressions_for_the_dimensions_of_the_cuboids_whose_volumes_are_given_below\"><\/span><strong>16.What are the possible expressions for the dimensions of the cuboids whose volumes are given below?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(i)<img decoding=\"async\" style=\"height: 22px; width: 121px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image208.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>(ii)<img decoding=\"async\" style=\"height: 24px; width: 173px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image209.png\" \/> <\/strong><\/p>\n<p style=\"text-align: justify;\"><strong>Ans. (i)<\/strong><img decoding=\"async\" style=\"height: 21px; width: 127px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image210.png\" \/><\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 22px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image211.png\" \/> can also be written as <img decoding=\"async\" style=\"height: 26px; width: 92px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image212.png\" \/><\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Therefore_we_can_conclude_that_a_possible_expression_for_the_dimension_of_a_cuboid_of_volumeis\"><\/span>Therefore, we can conclude that a possible expression for the dimension of a cuboid of volume<img decoding=\"async\" style=\"height: 21px; width: 64px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image213.png\" \/>is<img decoding=\"async\" style=\"height: 27px; width: 103px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image214.png\" \/>.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><strong>(ii)<\/strong><img decoding=\"async\" style=\"height: 25px; width: 181px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image215.png\" \/><\/p>\n<p style=\"text-align: justify;\">The expression <img decoding=\"async\" style=\"height: 24px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image216.png\" \/> can also be written as <img decoding=\"async\" style=\"height: 29px; width: 124px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image217.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 118px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image218.png\" \/><img decoding=\"async\" style=\"height: 29px; width: 176px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image219.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 181px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image220.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 136px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image221.png\" \/><\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 26px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image222.png\" \/><\/p>\n<p style=\"text-align: justify;\">Therefore, we can conclude that a possible expression for the dimension of a cuboid of volume<img decoding=\"async\" style=\"height: 25px; width: 116px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image223.png\" \/>is<img decoding=\"async\" style=\"height: 27px; width: 155px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/09\/maths\/ch02\/Ex2.5\/image224.png\" \/>.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Exercise_25\"><\/span>NCERT Solutions for Class 9 Maths Exercise 2.5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_9\"><\/span>CBSE app for Class 9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 9 Maths, Computer Science, Home Science,Hindi ,English, Social Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 9 Maths Exercise 2.5 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 9 Maths chapter &#8230; <a title=\"NCERT Solutions for Class 9 Maths Exercise 2.5\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-9-maths-exercise-2-5\/\" aria-label=\"More on NCERT Solutions for Class 9 Maths Exercise 2.5\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45,281],"tags":[283,1344,321,1485,216],"class_list":["post-5012","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-09","category-ncert-solutions","tag-cbse-study-material","tag-class-9","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 9 Maths Exercise 2.5 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 9 Maths Exercise 2.5 in PDF format for free download. 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