X²+xy²-x²-y²-3xy+2x+2y-1分解因式

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X²+xy²-x²-y²-3xy+2x+2y-1分解因式
X²+xy²-x²-y²-3xy+2x+2y-1分解因式

X²+xy²-x²-y²-3xy+2x+2y-1分解因式
题目出错了么?
是不是 x²y+xy²-x²-y²-3xy+2x+2y-1?
x²y+xy²-x²-y²-3xy+2x+2y-1
=(x²y+xy²-xy)-(x²+y²+2xy-2x-2y+1
=xy(x+y-1)-[(x+y)²-2(x+y)+1]
=xy(x+y-1)-(x+y-1)²
=(x+y+1)(xy-x-y+1)
=(x+y+1)[(xy-x)-(y-1)]
=(x+y+1)[x(y-1)-(y-1)]
=(x+y+1)(x-1)(y-1)
不好意思,看到题目太晚了,