已知(a^m+1×b^n+2)×(a^2n-1×b^2m)=a^5×b^3,则m+n的值是多少?(

2025-06-27 23:18:31
推荐回答(1个)
回答1:

a^m+1* b^n+2*a^2n-1*b^2m=a^5*b^3
a^(m+1+2n-1)* b^(n+2+2m)=a^5*b^3
a^(m+2n)* b^(n+2+2m)=a^5*b^3
a和b的次数分别相等
所以m+2n=5
n+2+2m=3
相加
m+2n+n+2+2m=5+3
3m+3n=6
m+n=2