Question

What is (a-b)2+(a+b)2

Answer 1

Answer:

  2a^2 +2b^2

Step-by-step explanation:

Expand the squares and collect terms.

(a -b)^2 +(a +b)^2 = (a^2 -2ab +b^2) +(a^2 +2ab +b^2) = 2a^2 +2b^2

Answer 2

$2*(a^{2} + b^{2})$

Step-by-step explanation:

Step 1:

We know that

$(a+b)^{2} = a^{2} + b^{2} + 2ab\\(a-b)^{2} = a^{2} + b^{2} -2ab$

Step 2:

Here

$(a+b)^{2} + (a-b)^{2} = a^{2} + b^{2} +2*a*b +a^{2} +b^{2} - 2*a*b$

on simplification,

$(a+b)^{2} + (a-b)^{2} = 2*(a^{2} + b^{2})$