已知x+y=5,x^2+y^2+13,求代数式x^3+2x^2y^2=xy^3
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已知x+y=5,x^2+y^2+13,求代数式x^3+2x^2y^2=xy^3
已知x+y=5,x^2+y^2+13,求代数式x^3+2x^2y^2=xy^3
已知x+y=5,x^2+y^2+13,求代数式x^3+2x^2y^2=xy^3
x+y=5
平方
x²+2xy+y²=25
2xy=25-13=12
xy=6
应该是x³y+2x²y²+xy³
=(x³y+xy³)+2(x²y²)
=xy(x²+y²)+2(xy)²
=6×13+2×6²
=150
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