Question

Simplify. (a) (a + b) ^ 2 + 2(a + b) * (a - b) + (a - b) ^ 2​

Answer 1

Answer:

4a(a2+1)

Step by Step explaination :

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

= (a2 + b2 + 2ab + 2a + 2b) * (a - b + a2+ b2 - 2ab)

= a4 + b4 + 2a2 - 2b2

= a4 + 2a2 + b4 - 2b2

= 4a(a2+1)