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

问题描述:

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

同底数幂相乘,底数不变,指数相加.
a^[(m+1)+(2n-1)]×b^[(n+2)+1]
=a^(m+2n)×b^(n+3)=a^5×b^3
可得:m+2n=5 ,n+3=3
m=5 ,n=0
∴m+n=5