因式分解2x^2y-x^3-xy^2 4-12(x-y)+9(x-y)^22x^2y-x^3-xy^24-12(x-y)+9(x-y)^2

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因式分解2x^2y-x^3-xy^2 4-12(x-y)+9(x-y)^22x^2y-x^3-xy^24-12(x-y)+9(x-y)^2
因式分解2x^2y-x^3-xy^2 4-12(x-y)+9(x-y)^2
2x^2y-x^3-xy^2
4-12(x-y)+9(x-y)^2

因式分解2x^2y-x^3-xy^2 4-12(x-y)+9(x-y)^22x^2y-x^3-xy^24-12(x-y)+9(x-y)^2
2x^2y-x^3-xy^2
=-x(x²-2xy+y²)
=-x(x-y)²
4-12(x-y)+9(x-y)^2
=[3(x-y)]²-2×2×[3(x-y)]+2²
=[3(x-y)-2]²
=(3x-3y-2)²