已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值

问题描述:

已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值

x³y+2x²y²+xy³
=xy(x²+2xy+y²)
=xy(x+y)²
=4/3*(3/2)²
=3