已知a+b=2,ab=2,求a³b+2a²b²+ab³的值
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![已知a+b=2,ab=2,求a³b+2a²b²+ab³的值](/uploads/image/z/1758339-27-9.jpg?t=%E5%B7%B2%E7%9F%A5a%2Bb%3D2%2Cab%3D2%2C%E6%B1%82a%26%23179%3Bb%2B2a%26%23178%3Bb%26%23178%3B%2Bab%26%23179%3B%E7%9A%84%E5%80%BC)
已知a+b=2,ab=2,求a³b+2a²b²+ab³的值
已知a+b=2,ab=2,求a³b+2a²b²+ab³的值
已知a+b=2,ab=2,求a³b+2a²b²+ab³的值
a³b+2a²b²+ab³
=ab(a²+2ab+b²)
=ab(a+b)²
=2×2²
=8
a^3b+2a^2b^2+ab^3=ab(a^2+2ab+b^2).
=ab(a+b)^2.
=2*2^2.
=8.