设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项求(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)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(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)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(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)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(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)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
（你的题目分子似乎写错项了,有两个是同类项了）

由题意知，2＝2+2m+n,则n=－2m, 所以，把n=－2m代入原式，计算得 原式＝55/97

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

同类项则相同字母的次数相等
所以2=2+2m+n
2m+n=0
n=-2m
(3m^3-m^2n+3mn^2-6mn^2+9n^3)/(5m^3+3m^2n-6mn^2+9n^3)
=(3m^3+2m^3-12m^3-72m^3)/(5m^3-6m^3-24m^3-72m^3)
=-79m^3/(-97m^3)
=79/97