分解因式：(x^2-2y)^2-(1-2y)^2 x^3y-3x^2-2x^2y^2+6xy
问题描述：
分解因式：(x^2-2y)^2-(1-2y)^2 x^3y-3x^2-2x^2y^2+6xy
答
(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...