已知(m-1)^2+|m+n|=0,求4m^2+6n^2-mn-2m^2+5n^2-3mn的值
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已知(m-1)^2+|m+n|=0,求4m^2+6n^2-mn-2m^2+5n^2-3mn的值
![已知(m-1)^2+|m+n|=0,求4m^2+6n^2-mn-2m^2+5n^2-3mn的值](/uploads/image/z/16920188-44-8.jpg?t=%E5%B7%B2%E7%9F%A5%EF%BC%88m-1%29%5E2%2B%7Cm%2Bn%7C%3D0%2C%E6%B1%824m%5E2%2B6n%5E2-mn-2m%5E2%2B5n%5E2-3mn%E7%9A%84%E5%80%BC)
/>(m-1)²+|m+n|=0
m-1=0 m+n=0
m=1 n=-1
于是
4m²+6n²-mn-2m²+5n²-3mn
=4m²-2m²+5n²+6n²-mn-3mn
=2m²+11n²-4mn
=2×1²+11×(-1)²-4×1×(-1)
=2+11+4
=17
m-1=0 m+n=0
m=1 n=-1
于是
4m²+6n²-mn-2m²+5n²-3mn
=4m²-2m²+5n²+6n²-mn-3mn
=2m²+11n²-4mn
=2×1²+11×(-1)²-4×1×(-1)
=2+11+4
=17
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