계산(m+2n/n-m)-(n/m-n)+(2m/n-m)요 과정

계산(m+2n/n-m)-(n/m-n)+(2m/n-m)요 과정

(m-n)^3+(n-m)m^2
=(m-n)^3-(m-n)m^2
=(m-n)[(m-n)^2-m^2]
=(m-n)(m-n+m)(m-n-m)
=-n(m-n)(2m-n)
=-n(2m^2-3mn+n^2)
=-2m^2n+3mn^2-n^3