当a/b=3/2,求a/(a-b)+b/(a+b)+b^2/(a^2-b^2)的值 详细过程哦 谢谢
问题描述：
当a/b=3/2,求a/(a-b)+b/(a+b)+b^2/(a^2-b^2)的值 详细过程哦 谢谢
答
a/(a-b)+b/(a+b)+b^2/(a^2-b^2) =(a/b)/(a/b-1)+1/(a/b+1)+1/[(a/b)^2-1] =(3/2)/(3/2-1)+1/(3/2+1)+1/[(3/2)^2-1] =3+2/5+4/5=3+6/5=21/5