已知m²+2mn=13,3mn+2n²=21,求2m²+13mn+6n²-44的值.
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![已知m²+2mn=13,3mn+2n²=21,求2m²+13mn+6n²-44的值.](/uploads/image/z/2586640-40-0.jpg?t=%E5%B7%B2%E7%9F%A5m%26%23178%3B%2B2mn%3D13%2C3mn%2B2n%26%23178%3B%3D21%2C%E6%B1%822m%26%23178%3B%2B13mn%2B6n%26%23178%3B-44%E7%9A%84%E5%80%BC.)
已知m²+2mn=13,3mn+2n²=21,求2m²+13mn+6n²-44的值.
已知m²+2mn=13,3mn+2n²=21,求2m²+13mn+6n²-44的值.
已知m²+2mn=13,3mn+2n²=21,求2m²+13mn+6n²-44的值.
m²+2mn=13,则2(m²+2mn)=26,即2m²+4mn=26
3mn+2n²=21,则3(3mn+2n²)=63,即9mn+6n²=63
(2m²+4mn)+(9mn+6n²)=26+63
2m²+13mn+6n²=89
2m²+13mn+6n²-44=89-44=45
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