(-5x^m+2n)(y^3m-n)÷(-2x^3n y^2m-n)的商与-2x^3y^2是同类项,求m+n的值

问题描述:

(-5x^m+2n)(y^3m-n)÷(-2x^3n y^2m-n)的商与-2x^3y^2是同类项,求m+n的值

-5x^(m+2n)y^(3m-n)÷[-2x^3n y^(2m-n)]
=5/2x^(m-n)*y^m
∵与-2x^3y^2是同类项
∴m-n=3,m=2
m=2,n=-1
m+n=2-1=1