已知x+y=2,xy=1/2,求x³y+2x²y²+xy³

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已知x+y=2,xy=1/2,求x³y+2x²y²+xy³已知x+y=2,xy=1/2,求x³y+2x²y²+xy³已知

已知x+y=2,xy=1/2,求x³y+2x²y²+xy³
已知x+y=2,xy=1/2,求x³y+2x²y²+xy³

已知x+y=2,xy=1/2,求x³y+2x²y²+xy³
x³y+2x²y²+xy³
=xy(x²+2xy+y²)
=xy(x+y)²
=1/2(2)²
=2

原式=0.5X~2+XY+0.5Y~2
=(0.5X+0.5Y)*(X+Y)
=0.5*4=2