Question

(a+b)^4 - (a-b)^4 =​

Answer 1

Answer:

8ab(a^2+b^2)

Step-by-step explanation:

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

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

∴ ((a+b)^2 + (a-b)^2)(a+b)^2-(a-b)^2)

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

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

=8ab(a^2+b^2)