x方(x-y)+(y方-x方)因式分解

问题描述:

x方(x-y)+(y方-x方)因式分解

x²(x-y)+(y²-x²)
=x²(x-y)+(y+x)(y-x)
=x²(x-y)-(x+y)(x-y)
=(x-y)[x²-(x+y)]
=(x-y)(x²-x+y)