若x^3+y^3=1000,且x^2y-xy^2=-496,求(x^3-y^3)+(4xy^2-2x^2y)-2(xy^
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若x^3+y^3=1000,且x^2y-xy^2=-496,求(x^3-y^3)+(4xy^2-2x^2y)-2(xy^2-y^3)的值
![若x^3+y^3=1000,且x^2y-xy^2=-496,求(x^3-y^3)+(4xy^2-2x^2y)-2(xy^](/uploads/image/z/18349350-6-0.jpg?t=%E8%8B%A5x%5E3%2By%5E3%3D1000%2C%E4%B8%94x%5E2y-xy%5E2%3D-496%2C%E6%B1%82%28x%5E3-y%5E3%29%2B%284xy%5E2-2x%5E2y%29-2%28xy%5E)
(x^3-y^3)+(4xy^2-2x^2y)-2(xy^2-y^3)
=(x^3+y^3)+4xy^2-2x^2y-2xy^2
=(x^3+y^3)+2(xy^2-x^2y)
=1000+2*496
=1992
=(x^3+y^3)+4xy^2-2x^2y-2xy^2
=(x^3+y^3)+2(xy^2-x^2y)
=1000+2*496
=1992
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