x²-x²y+xy²-x+y-y²,让我看得懂

问题描述:

x²-x²y+xy²-x+y-y²,让我看得懂
1个回答 分类:数学 2014-10-04

问题解答:

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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)
 
 
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