若a^m+1 b^n+2·(a^2n-1·b)=a^5 b^3,求m+n的值

问题描述:

若a^m+1 b^n+2·(a^2n-1·b)=a^5 b^3,求m+n的值

解析:
因为a^(m+1) b^(n+2)·a^(2n-1)·b
=a^(m+1+2n-1)·b^(n+2+1)
=a^(m+2n)·b^(n+3)
=a^5 b^3
所以可得:
n+3=3,m+2n=5
解得n=0,m=5
所以:m+n=5