若11/3x^2y^m-n与3x^my^4是同类项,求出2(m^2+mn-1)-(n^2+m)的值

问题描述:

若11/3x^2y^m-n与3x^my^4是同类项,求出2(m^2+mn-1)-(n^2+m)的值

因为11/3x²y^(m-n)与3x^my^4是同类项,所以相同的字母的指数相等
所以有:
m=2且m-n=4
m=2,n=-2
2(m²+mn-1)-(n²+m)
=2×[2²+2×(-2)-1]-[(-2)²+2]
=2×[4+2×(-2)-1]-(4+2)
=2×(4-4-1)-6
=-2-6
= -8