已知xy=9,x-y=-3,求a^2+3xy+y^2的值
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已知xy=9,x-y=-3,求a^2+3xy+y^2的值
![已知xy=9,x-y=-3,求a^2+3xy+y^2的值](/uploads/image/z/3273552-0-2.jpg?t=%E5%B7%B2%E7%9F%A5xy%3D9%2Cx-y%3D-3%2C%E6%B1%82a%5E2%2B3xy%2By%5E2%E7%9A%84%E5%80%BC)
x²+3xy+y²
=(x²-2xy+y²)+5xy
=(x-y)²+5xy
=(-3)²+5×9
=9+45
=54
=(x²-2xy+y²)+5xy
=(x-y)²+5xy
=(-3)²+5×9
=9+45
=54
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