Question

(a+b)²(a-b)²-(a+b)(a²+b²)(a-b) 用公式法.

Answer 1

(a+b)²(a-b)²-(a+b)(a²+b²)(a-b)

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

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

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

=2b^4-2a^2b^2