Question

A(a - b)+b(a - b) + (a - b)²​

Answer 1

a^4 - b^4

Explanation:

a(a - b) + b(a - b) + (a - b)^2 --> Given

a^2 - ab + b(a - b) + (a - b)^2 --> Distributive Property

a^2 - ab + ba - b^2 + (a - b)^2 --> Distributive Property

a^2 - ab + ba - b^2 + a^2 - b^2 --> Distributive Property

a^4 - ab + ba - b^2 - b^2 --> Combine Like Terms

a^4 + 0 - b^2 - b^2 --> Combine Like Terms (a * b = b * a)

a^4 - b^4 --> Combine Like Terms