x²-x²y+xy²-x+y-y²,让我看得懂

来源：学生作业帮助网编辑：作业帮时间：2024/04/29 16:49:42

x²-x²y+xy²-x+y-y²,让我看得懂
x²-x²y+xy²-x+y-y²,让我看得懂

x²-x²y+xy²-x+y-y²,让我看得懂
x²-x²y+xy²-x+y-y²
=(x²-y²)-(x²y-xy²)-(x-y)
=(x-y)(x+y)-xy(x-y)-(x-y)
=(x-y)(x+y-xy-1)
=-(x-y)(xy-x-y+1)
=-(x-y)[(xy-x)-(y-1)]
=-(x-y)[x(y-1)-(y-1)]
=-(x-y)(x-1)(y-1)