分解因式：(x^2-2y)^2-(1-2y)^2 x^3y-3x^2-2x^2y^2+6xy
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(x²-2y)²-(1-2y)²
=[(x²-2y)+(1-2y)][(x²-2y)-(1-2y)]
=(x²-4y+1)(x²-1)
=(x²-4y+1)(x+1)(x-1)
x³y-3x²-2x²y²+6xy
=x²(xy-3)-2xy(xy-3)
=(xy-3)(x²-2xy)
=x(xy-3)(x-2y)
=[(x²-2y)+(1-2y)][(x²-2y)-(1-2y)]
=(x²-4y+1)(x²-1)
=(x²-4y+1)(x+1)(x-1)
x³y-3x²-2x²y²+6xy
=x²(xy-3)-2xy(xy-3)
=(xy-3)(x²-2xy)
=x(xy-3)(x-2y)
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