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

问题描述:

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

方程整理得,
a^m+2n b^2m+n+2=a^5 b^3,
则有,
m+2n=5;
2m+n+2=3;
解得m=-1,n=3,
故,m-3n=-1-9=-10