分解因式:a^2(a-b)^n+1-2a(a-b)^n+2+(a-b)^n+3

2025-01-24 02:36:27
推荐回答(2个)
回答1:

是(a^2)(a-b)^(n+1)-2a(a-b)^(n+2)+(a-b)^(n+3)吧?
如果是的话:

解:
(a^2)(a-b)^(n+1)-2a(a-b)^(n+2)+(a-b)^(n+3)
=[(a-b)^(n+1)][a^2-2a(a-b)+(a-b)^2]
=[(a-b)^(n+1)](a^2-2a^2+2ab+a^2-2ab+b^2)
=[(a-b)^(n+1)](b^2)
=(b^2)(a-b)^(n+1)

回答2:

这·~~~这