(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-y(y-x)^3_数学解答

(x-y)^4+x(x-y)^3-y(y-x)^3因式分解
(x-y)^4+x(x-y)^3-y(y-x)^3

人气：241 ℃　时间：2020-03-21 09:18:14

解答

原式=(x-y)^4+x(x-y)^3+y(x-y)^3
=(x-y)^4+(x+y)(x-y)^3
=(x-y)^3((x-y)+(x+y))
=2x(x-y)^3=(x-y)^4+(x+y)(x-y)^3怎么得出来的。。。x(x-y)^3+y(x-y)^3有公因式（x-y)^3,提公因式嘛