x^3-2x^2y-4xy^2+8y^3因式分解

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x^3-2x^2y-4xy^2+8y^3因式分解x^3-2x^2y-4xy^2+8y^3因式分解x^3-2x^2y-4xy^2+8y^3因式分解x^3-2x^2y-4xy^2+8y^3=(x^3-2x

x^3-2x^2y-4xy^2+8y^3因式分解
x^3-2x^2y-4xy^2+8y^3因式分解

x^3-2x^2y-4xy^2+8y^3因式分解
x^3-2x^2y-4xy^2+8y^3
=(x^3-2x^2y)+(-4xy^2+8y^3)
=x²(x-2y)-4y²(x-2y)
=(x-2y)(x²-4y²)
=(x-2y)²(x+2y)

你确定是2x^2y?

x³-2x²y-4xy²+8y³
=x²(x-2y)-4y²(x-2y)
=(x-2y)(x²-4y²)
=(x-2y)(x+2y)(x-2y)
=(x+2y)(x-2y)²