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已知x-y=1,xy=2,则代数式x的3次方y-2x的2次方y的2次方+xy的3次方的值为
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x^3y-2x^2y^2+xy^3
=(x^3y-x^2y^2)+(xy^3-x^2y^2)
=x^2y(x-y)+xy^2(y-x)
=(x-y)(x^2y-xy^2)
=(x-y)xy(x-y)
=2
=(x^3y-x^2y^2)+(xy^3-x^2y^2)
=x^2y(x-y)+xy^2(y-x)
=(x-y)(x^2y-xy^2)
=(x-y)xy(x-y)
=2
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