Question

Simplify:- (a + b + c)2 – (a - b - c)2.​

Answer 1

Step-by-step explanation:

(a+b+c)^2= a^2+b^2+c^2+2ab+2bc+2ca

(a-b-c)^2= a^2+b^2+c^2-2ab+2bc-2ca

(a+b+c)^2 - (a-b-c)^2

=(a^2+b^2+c^2+2ab+2bc+2ca)- (a^2+b^2+c^2-2ab+2bc-2ca)

= a^2+b^2+c^2+2ab+2bc+2ca-a^2+b^2+c^2-2ab+2bc-2ca

=2a^2+2b^2+2c^2+2ab-2ab+2bc+2bc+2ca-2ca

= 2a^2+2b^2+2c^2+4bc