No products in the cart.

Prove that (a+b+c)^3 -a^3-b^3-c^3 =3(a+b) (b+c) …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Prove that (a+b+c)^3 -a^3-b^3-c^3 =3(a+b) (b+c) (c+a)

Posted by Chinmayee Kumari Sahu 1 year, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Aanvi Saxena 1 year, 2 months ago

=>(a+b+c) 3 =(a 3 +3a 2 b+3ab 2 +b 3 )+3(a 2 +2ab+b 2 )c+3(a+b)c 2 +c 3 =>(a+b+c) 3 =a 3 +b 3 +c 3 +3a 2 b+3a 2 c+3ab 2 +3b 2 c+3ac 2 +3bc 2 +6abc =>(a+b+c) 3 =a 3 +b 3 +c 3 +3a 2 b+3a 2 c+3ab 2 +3b 2 c+3ac 2 +3bc 2 +3abc+3abc =>(a+b+c) 3 =a 3 +b 3 +c 3 +3a(ab+ac+b 2 +bc)+3c(ab+ac+b 2 +bc) =>(a+b+c) 3 =a 3 +b 3 +c 3 +3(a+c)(ab+ac+b 2 +bc) =>(a+b+c) 3 =a 3 +b 3 +c 3 +3(a+c)[a(b+c)+b(b+c)] =>(a+b+c) 3 =a 3 +b 3 +c 3 +3(a+c)(b+c)(a+b) =>(a+b+c) 3 −a 3 −b 3 −c 3 =3(a+c)(b+c)(a+b)

ANSWER

http://mycbseguide.com/examin8/

Related Questions

Prove that the sum of all the three interior angles of a triangle is 180 degree

Posted by Savitha Savitha 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

Ndovdgdhveieb

Posted by T Prudhvi 1 week, 3 days ago

CBSE > Class 09 > Mathematics

0 answers

What is 38747484±393884747

Posted by Alvin Thomas 2 months ago

CBSE > Class 09 > Mathematics

0 answers

Cost of a pen is two and half times the cost of a pencil. Express the situation as a linear equation in two variables

Posted by Kirshika Ganesh 2 months ago

CBSE > Class 09 > Mathematics

0 answers

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Gnani Yogi 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

X³-12x²+39x-28

Posted by Sukhi Devasi 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm. find its area

Posted by Akhilesh Patidar 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 2 months ago

CBSE > Class 09 > Mathematics

0 answers

2x+5y

Posted by Yash Pandey 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 2 months, 1 week ago

CBSE > Class 09 > Mathematics

0 answers

myCBSEguide App

myCBSEguide

Trusted by 1 Crore+ Students

Test Generator

Test Generator

Create papers online. It's FREE.

CUET Mock Tests

CUET Mock Tests

75,000+ questions to practice only on myCBSEguide app

Google Play

Download myCBSEguide App