已知m/n=5/3,求分式m/(m+n)+m/(m-n)-n^2/(m^2-n^2)的值

问题描述:

已知m/n=5/3,求分式m/(m+n)+m/(m-n)-n^2/(m^2-n^2)的值

m/(m+n)+m/(m-n)-n^2/(m^2-n^2)=m(m-n)/(m+n)(m-n)+m(m+n)/(m-n)(m+n)-n^2/(m^2-n^2)=(m(m-n)+m(m+n))/(m^2-n^2)-n^2/(m^2-n^2)=(2m^2))/(m^2-n^2)-n^2/(m^2-n^2)=(2m^2-n^2)/(m^2-n^2)m/n=5/3m=5n/3带入=(2(5n...