x²y²-x²y-xy²+x+y-1因式分解
题目
x²y²-x²y-xy²+x+y-1因式分解
答案
x²y²-x²y-xy²+x+y-1
=x²y(y-1)-x(y²-1)+(y-1)
=x²y(y-1)-x(y+1)(y-1)+(y-1)
=(y-1)(x²y-xy-x+1)
=(y-1)[xy(x-1)-(x-1)]
=(x-1)(y-1)(xy-1)
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