已知m-2的绝对值+(2m-5n+1)^2=0,求(-2m)^2-2m(5n+2m)+3n(3m-2n)的值.
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已知m-2的绝对值+(2m-5n+1)^2=0,求(-2m)^2-2m(5n+2m)+3n(3m-2n)的值.
![已知m-2的绝对值+(2m-5n+1)^2=0,求(-2m)^2-2m(5n+2m)+3n(3m-2n)的值.](/uploads/image/z/6350479-7-9.jpg?t=%E5%B7%B2%E7%9F%A5m-2%E7%9A%84%E7%BB%9D%E5%AF%B9%E5%80%BC%2B%282m-5n%2B1%29%5E2%3D0%2C%E6%B1%82%EF%BC%88-2m%29%5E2-2m%285n%2B2m%29%2B3n%283m-2n%29%E7%9A%84%E5%80%BC.)
m-2的绝对值+(2m-5n+1)^2=0
m-2=0
2m-5n+1=0
所以
m=2
n=1
所以
(-2m)^2-2m(5n+2m)+3n(3m-2n)
=4m²-10mn-4m²+9mn-6n²
=-mn-6n²
=-2×1-6×1²
=-2-6
=-8
m-2=0
2m-5n+1=0
所以
m=2
n=1
所以
(-2m)^2-2m(5n+2m)+3n(3m-2n)
=4m²-10mn-4m²+9mn-6n²
=-mn-6n²
=-2×1-6×1²
=-2-6
=-8
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