{"id":10756,"date":"2018-02-20T10:48:39","date_gmt":"2018-02-20T05:18:39","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/?p=10756"},"modified":"2019-01-30T16:30:27","modified_gmt":"2019-01-30T11:00:27","slug":"algebraic-expressions-identities-class-8-notes-mathematics","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/algebraic-expressions-identities-class-8-notes-mathematics\/","title":{"rendered":"Algebraic Expressions and Identities class 8 Notes Mathematics"},"content":{"rendered":"<p><strong>Algebraic Expressions and Identities class 8 Notes Mathematics<\/strong> in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Algebraic Expressions and Identities class 8 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school-based annual examinations. Class 8 Mathematics notes on chapter 9 Algebraic Expressions and Identities Mathematics are also available for download in CBSE Guide website.<\/p>\n<h2><strong>Class 8 Mathematics notes Chapter 9 Algebraic Expressions and Identities<\/strong><\/h2>\n<p>Download CBSE class 8th revision notes for chapter 9 Algebraic Expressions and Identities in PDF format for free. Download revision notes for Algebraic Expressions and Identities class 8 Notes and score high in exams. These are the Algebraic Expressions and Identities class 8 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 9 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.<\/p>\n<p style=\"text-align: center;\"><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics\/1449\/cbse-revision-notes\/7\/\">Download Revision Notes as PDF<\/a><\/strong><\/p>\n<h2><strong>CBSE Class 8 Revision Notes Maths Algebraic Expressions and Identities<\/strong><\/h2>\n<ul>\n<li>Expressions are formed from <strong>variables <\/strong>and <strong>constants.<\/strong><\/li>\n<li><strong>Constant: <\/strong>A symbol having a fixed numerical value. Example: 2, <span class=\"cke_widget_wrapper cke_widget_inline cke_widget_selected\"><span class=\"math-tex cke_widget_element\"><img decoding=\"async\" src=\"https:\/\/elpiscart.com\/cgi-bin\/mathtex.cgi?2\\over 3\" \/><\/span><\/span>, 2.1, etc.<\/li>\n<li><strong>Variable:<\/strong> A symbol which takes various numerical values. Example: x, y, z, etc.<\/li>\n<li><strong>Algebric Expression:<\/strong> A combination of constants and variables connected by the sign +, -, <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/08\/maths\/ch09\/image002.png\" \/>\u00a0and <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/08\/maths\/ch09\/image003.png\" \/>\u00a0is called algebraic expression.<\/li>\n<li>Terms are added to form <strong>expressions<\/strong>. Terms themselves are formed as product of factors.<\/li>\n<li>Expressions that contain exactly one, two and three terms are called monomials, binomials and <strong>trinomials <\/strong>respectively. In general, any expression containing one or more terms with non-zero coefficients (and with variables having non- negative exponents) is called a polynomial.<\/li>\n<li><strong>Like\u00a0<\/strong>terms are formed from the same variables and the powers of these variables are the same, too. Coefficients of like terms need not be the same.<\/li>\n<li>While adding (or subtracting) polynomials, first look for like terms and add (or subtract) them; then handle the, unlike terms.<\/li>\n<li>There are number of situations in which we need to multiply algebraic expressions: for example, in finding area of a rectangle, the sides of which are given as expressions.<\/li>\n<li><strong>Monomial: <\/strong>An expression containing only one term. Example: -3, 4x, 3xy, etc.<\/li>\n<li><strong>Binomial:<\/strong> An expression containing two terms. Example: 2x-3, 4x+3y, xy-4, etc.<\/li>\n<li><strong>Trinomial:<\/strong> An expression containing three terms. Example: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/08\/maths\/ch09\/image004.png\" \/>, 3x+2y+5z, etc.<\/li>\n<li><strong>Polynomial:<\/strong> In general, any expression containing one or more terms with non-zero coefficients (and with variables having non-negative exponents). A polynomial may contain any number of terms, one or more than one.<\/li>\n<li>A monomial multiplied by a monomial always gives a monomial.<\/li>\n<li>While multiplying a polynomial by a monomial, we multiply every term in the polynomial by the monomial.<\/li>\n<li>In carrying out the multiplication of a polynomial by a binomial (or trinomial), we multiply term by term, i.e., every term of the polynomial is multiplied by every term in the binomial (or trinomial). Note that in such multiplication, we may get terms in the product which are like and have to be combined.<\/li>\n<li>An identity is an equality, which is true for all values of the variables in the equality. On the other hand, an equation is true only for certain values of its variables. An equation is not an identity.<\/li>\n<li>The following are the standard identities:<br \/>\n(a + b)<sup>2<\/sup> = a<sup>2<\/sup> + 2ab + b<sup>2<\/sup> (I)<br \/>\n(a \u2013 b)<sup>2<\/sup> = a<sup>2<\/sup> \u2013 2ab + b<sup>2<\/sup> (II)<br \/>\n(a + b)(a \u2013 b) = a<sup>2<\/sup> \u2013 b<sup>2<\/sup> (III)<br \/>\nAnother useful identity is (x + a) (x + b) = x2\u00a0 + (a + b) x + ab\u00a0 (IV)<\/li>\n<li>The above four identities are useful in carrying out squares and products of algebraic expressions. They also allow easy alternative methods to calculate products of numbers and so on.<\/li>\n<li><strong>Coefficients<\/strong>: In the term of an expression any of the factors with the sign of the term is called the coefficient of the product of the other factors.<\/li>\n<li><strong>Terms<\/strong>: Various parts of an algebraic expression which are separated by + and \u2013 signs. Example: The expression 4x + 5 has two terms 4x and 5.<br \/>\n(i)\u00a0 <strong>Constant Term<\/strong>: A term of expression having no lateral factor.<br \/>\n(ii)\u00a0 <strong>Like term<\/strong>: The term having the same literal factors. Example 2xy and -4xy are like terms.<br \/>\n(iii)\u00a0 <strong>Unlike term<\/strong>: The terms having different literal factors. Example: <img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/revise\/08\/maths\/ch09\/image008.png\" \/>and 3xy are unlike terms.<\/li>\n<li><strong>Factors: <\/strong>Each term in an algebraic expression is a product of one or more number (s) and\/or literals. These number (s) and\/or literal (s) are known as the factor of that term. A constant factor is called numerical factor, while a variable factor is known as a literal factor. The term 4x is the product of its factors 4 and x.<\/li>\n<\/ul>\n<h2><strong>CBSE Class 8 Revision Notes and Key Points<\/strong><\/h2>\n<p>Algebraic Expressions and Identities class 8 Notes Mathematics. CBSE quick revision note for class-8 Mathematics, Chemistry, Math\u2019s, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.<\/p>\n<ul>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics\/1449\/cbse-revision-notes\/7\/\">Mathematics<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-science\/1466\/cbse-revision-notes\/7\/\">Science<\/a><\/li>\n<li><a href=\"http:\/\/mycbseguide.com\/downloads\/cbse-class-08-social-science\/1485\/cbse-revision-notes\/7\/\">Social Science<\/a><\/li>\n<\/ul>\n<p>To download Algebraic Expressions and Identities class 8 Notes Mathematics, sample paper for class 8 Mathematics, Social Science, Science, Mathematics; 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<ul>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/rational-numbers-class-11-notes-physical-education\/\">Rational Numbers class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/linear-equations-in-one-variable-class-8-notes-mathematics\/\">Linear Equations in one Variable class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/understanding-quadrilaterals-class-8-notes-mathematics\/\">Understanding Quadrilaterals class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/practical-geometry-class-8-notes-mathematics\/\">Practical Geometry class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/data-handling-class-8-notes-mathematics\/\">Data Handling class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/squares-square-roots-class-8-notes-mathematics\/\">Squares and Square Roots class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/cubes-cube-root-class-8-notes-mathematics\/\">Cubes and Cube Root class 8 Notes Mathematics<\/a><\/li>\n<li><a href=\"https:\/\/mycbseguide.com\/blog\/comparing-quantities-class-8-notes-mathematics\/\">Comparing Quantities class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/algebraic-expressions-identities-class-8-notes-mathematics\/\">Algebraic Expressions and Identities class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/visualising-solid-shapes-class-8-notes-mathematics\/\">Visualising solid shapes class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/mensuration-class-8-notes-mathematics\/\">Mensuration class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/exponents-powers-class-8-notes-mathematics\/\">Exponents and Powers class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/direct-inverse-proportions-class-8-notes-mathematics\/\">Direct and Inverse Proportions class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/factorisation-class-8-notes-mathematics\/\">Factorisation class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/introduction-graphs-class-8-notes-mathematics\/\">Introduction to Graphs class 8 Notes Mathematics<\/a><\/li>\n<li class=\"entry-title\"><a href=\"https:\/\/mycbseguide.com\/blog\/playing-numbers-class-8-notes-mathematics\/\">Playing with Numbers class 8 Notes Mathematics<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Algebraic Expressions and Identities class 8 Notes Mathematics in PDF are available for free download in myCBSEguide mobile app. The best app for CBSE students now provides Algebraic Expressions and Identities class 8 Notes Mathematics latest chapter wise notes for quick preparation of CBSE exams and school-based annual examinations. Class 8 Mathematics notes on chapter &#8230; <a title=\"Algebraic Expressions and Identities class 8 Notes Mathematics\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/algebraic-expressions-identities-class-8-notes-mathematics\/\" aria-label=\"More on Algebraic Expressions and Identities class 8 Notes Mathematics\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":10427,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[293,456],"tags":[954,457,150,1541,461,426,240],"class_list":["post-10756","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse-class-08","category-revision-notes","tag-algebraic-expressions-and-identities","tag-cbse-notes","tag-cbse-notes-and-key-points","tag-cbse-revision-notes","tag-mathematics-notes","tag-quick-revision","tag-quick-revision-notes"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Algebraic Expressions and Identities class 8 Notes Mathematics | myCBSEguide<\/title>\n<meta name=\"description\" content=\"Algebraic Expressions and Identities class 8 Notes Mathematics ch-9 in PDF format for free download. 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