设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
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![设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值](/uploads/image/z/2517542-62-2.jpg?t=%E8%AE%BEm%E5%92%8Cn%E5%9D%87%E4%B8%8D%E4%B8%BA0%2C3x%5E2y%5E3%E5%92%8C-5x%5E%282%2B2m%2Bn%29y%5E3%E6%98%AF%E5%90%8C%E7%B1%BB%E9%A1%B9.%E6%B1%82%283m%26%23179%3B-m%26%23178%3Bn%2B3mn%26%23178%3B%2B9n%26%23179%3B%29%2F%285m%26%23179%3B%2B3m%26%23178%3Bn-6mn%26%23178%3B%2B9n%26%23179%3B%29%E7%9A%84%E5%80%BC)
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设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.
求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
根据题意有:
2+2m+n=2
所以
2m+n=0
所以
n=-2m
将n=-2m代入(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)得:
(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)
=(-65m^3)/(-97m^3)
=65/97
65/97