化简 (m-n)/(m+2n)+(m^2-n^2)/(m^2+4mn+4n^2)

问题描述:

化简 (m-n)/(m+2n)+(m^2-n^2)/(m^2+4mn+4n^2)

(m-n)/(m+2n)+(m^2-n^2)/(m^2+4mn+4n^2)= (m-n)/(m+2n)+(m-n)(m+n)/(m+2n)^2=[(m-n)(m+2n)+(m-n)(m+n)]/(m+2n)^2=(m-n)(m+2n+m+n)/(m+2n)^2=(m-n)(2m+3n)/(m+2n)^2