已知a^m+2b^3与5/6x^5y^2n-3都是八次单项式,求(1/m+1/n)^2/(m+n)的值

已知a^m+2b^3与5/6x^5y^2n-3都是八次单项式,求(1/m+1/n)^2/(m+n)的值
已知a^m+2b^3与5/6x^5y^2n-3都是八次单项式,求(1/m+1/n)^2/(m+n)的值

已知a^m+2b^3与5/6x^5y^2n-3都是八次单项式,求(1/m+1/n)^2/(m+n)的值
根据题意：
有：m= 8 ,5 + 2n = 8
所以 m = 8 ,n = 3/2
则：(1/m+1/n)^2/(m+n) = [(m+n) / mn ]^2 / (m = n) = (m+n) / (mn)^2 = 19 / 288

19/288