作业帮3（x-1)³y-（1-x）³z m(x-y)²-x+y x²(x+y)(y-x
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/05/29 07:18:30
3（x-1)³y-（1-x）³z m(x-y)²-x+y x²(x+y)(y-x)-xy(x+y)(x-y) 因式分解
3个式子吧?
3（x-1)³y-（1-x）³z
=3（x-1)³y+（x-1）³z
=(x-1)³(3y+z)
(2)
m(x-y)²-x+y
=m(x-y)²-(x-y)
=(x-y)[m(x-y)-1]
=(x-y)(mx-my-1)
(3)
x²(x+y)(y-x)-xy(x+y)(x-y)
=x²(x+y)(y-x)+xy(x+y)(y-x)
=x(x+y)(y-x)(x+y)
=x(x+y)²(y-x)
3（x-1)³y-（1-x）³z
=3（x-1)³y+（x-1）³z
=(x-1)³(3y+z)
(2)
m(x-y)²-x+y
=m(x-y)²-(x-y)
=(x-y)[m(x-y)-1]
=(x-y)(mx-my-1)
(3)
x²(x+y)(y-x)-xy(x+y)(x-y)
=x²(x+y)(y-x)+xy(x+y)(y-x)
=x(x+y)(y-x)(x+y)
=x(x+y)²(y-x)
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