怎么因式分解XY-1+X-Y

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怎么因式分解XY-1+X-Y
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怎么因式分解XY-1+X-Y
怎么因式分解XY-1+X-Y

怎么因式分解XY-1+X-Y
=(XY+X)-1-Y
=X(Y+1)-(Y+1)
=(X-1)(Y+1)

=x(y+1)-(y+1)
=(x-y)*(y+1)

原式=xy+x-(1+y)
=x(1+y)-(1+y)
=(x-1)(y+1)