已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值
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![已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值](/uploads/image/z/1611926-62-6.jpg?t=%E5%B7%B2%E7%9F%A5x%2By%3D3%2F2%2Cxy%3D4%2F3%2C%E6%B1%82x%26%23179%3By%2B2x%26%23178%3By%26%23178%3B%2Bxy%26%23179%3B%E7%9A%84%E5%80%BC)
已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值
已知x+y=3/2,xy=4/3,求x³y+2x²y²+xy³的值
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
x³y+2x²y²+xy³
=xy(x^2+2xy+y^2)
=xy(x+y)^2
=4/3*9/4
=3
正确答案是3