xy-y²+x-3y-2因式分解

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xy-y²+x-3y-2因式分解
xy-y²+x-3y-2
因式分解

xy-y²+x-3y-2因式分解
xy-y²+x-3y-2
=(xy+x)-(y²+3y+2)
=x(y+1)-(y+1)(y+2)
=(y+1)[x-(y+2)]
=(y+1)(x-y-2)

xy-y²+x-3y-2
=y(x-y)+(x-y)-2y-2
=y(x-y)+(x-y)-2(y+1)
=(x-y)(y+1)-2(y+1)
=(y+1)(x-y-2)

xy-y²+x-3y-2
=xy+x-(y²+3y+2)
=x(y+1)-(y+1)(y+2)
=(y+1)(x-y-2)