分解因式：6xy²-9x²y-y³+y

分解因式：6xy²-9x²y-y³+y
分解因式：6xy²-9x²y-y³+y

分解因式：6xy²-9x²y-y³+y
原式=-y[(y²-6xy+9x²)-1]
=-y[(3x-y)²-1]
=-y(3x-y+1)(3x-y-1)

y(6XY-9X^2-Y^2+1)=-Y((3X-Y)^2-1)=-Y(3X-Y+1)(3X-Y-1)
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6xy²-9x²y-y³+y=y(6xy-9x²-y²+1)=y[1-(3x-y)^2]=y(3x-y+1)(1-3x+y)