Question

(a-b)^2 (a+b)^2 find the answer by using identities

Answer 1

Answer:

a^4 + b^4 - 2(ab)^2

Step-by-step explanation:

(a-b)^2 (a+b)^2 = [(a + b)(a - b)]^2     ( using (a^n)(b^n) = (ab)^n )

                        = [a^2 -b^2]^2        (using identity (a+b)(a-b) = a^2 -b^2)

                        = a^4 + b^4 - 2(ab)^2   ( using identity (a-b)^2 = a^2 + b^2 - 2ab )