已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.

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已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的

已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.
已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.

已知x-y=3,xy=2,求x^3y-2x^2y^2+xy^3的值.
x^3y-2x^2y^2+xy^3
=xy(x^2-2xy+y^2)
=xy(x-y)^2
=2*3^2
=18

x^3y-2x^2y^2+xy^3=xy(x-y)^2=2*3^2=18

老兄，这个 ^ 符号什么意思？

原式= xy（x^2+y^2）-2x^2y^2
= xy[（x+y）^2+2xy]-2x^2y^2
带入数值
最后等于18

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