a的平方×(a-b)的三次方+b的平方(b-a)的三次方

2025-12-14 21:38:21
推荐回答(2个)
回答1:

a^2*(a-b)^3+b^2*(b-a)^3
=a^2*(a-b)^3-b^2*(a-b)^3
=(a-b)^3(a^2-b^2)
=(a+b)(a-b)^4

回答2:

a^2x(a-b)^3+b^2(b-a)^3
=a^2(a^3-3a^2b+3ab^2-b^3)+b^2(b^3-3b^2a+3ba^2-a^3)
=a^5-3a^4b+3a^3b^2-a^2b^3+b^5-3b^4a+3b^3a^2-a^3b^2
=a^5-3a^4b+2a^3b^2+2a^2b^3+b^5