x^4y+2x^3y^2-x^2y-2xy^2 因式分解

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x^4y+2x^3y^2-x^2y-2xy^2 因式分解
x^4y+2x^3y^2-x^2y-2xy^2 因式分解

x^4y+2x^3y^2-x^2y-2xy^2 因式分解
x^4y+2x^3y^2-x^2y-2xy^2
=x^3(x+2y)-xy(x+2y)
=x(x+2y)(x^2-y)

xy((x^3+2X^2y-x-2y)=xy(x+1)(x-1)(x+2y)

XY（X^2-1）(X+2Y)