Question

Simplify the following (a+b+c)² + (a+b-c)²

Answer 1

Step-by-step explanation:

(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-2ac

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

=2(a^2+b^2+c^2+2ab).