已知:x+y=5,x²+y² =11,求代数式x³y-2x²y²+xy³的值
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![已知:x+y=5,x²+y² =11,求代数式x³y-2x²y²+xy³的值](/uploads/image/z/3996290-2-0.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%9Ax%2By%3D5%2Cx%26%23178%3B%2By%26%23178%3B+%3D11%2C%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8Fx%26%23179%3By-2x%26%23178%3By%26%23178%3B%2Bxy%26%23179%3B%E7%9A%84%E5%80%BC)
已知:x+y=5,x²+y² =11,求代数式x³y-2x²y²+xy³的值
已知:x+y=5,x²+y² =11,求代数式x³y-2x²y²+xy³的值
已知:x+y=5,x²+y² =11,求代数式x³y-2x²y²+xy³的值
x³y-2x²y²+xy³
=xy(x²-2xy+y²)
=xy(x-y)²
=xy[(x+y)²-4xy]
=5x(11²-4x5)
=5x101
=505