Question

Please solve this question ​

Answer 1

Answer:

$\frac{a^{-1}}{a^{-1}+b^{-1}}+\frac{a^{-1}}{a^{-1}-b^{-1}}=\frac{\frac{1}{a}}{\frac{1}{a}+\frac{1}{b}}+\frac{\frac{1}{a}}{\frac{1}{a}-\frac{1}{b}}=\frac{b}{b+a}+\frac{b}{b-a}=b\left[\frac{b-a+b+a}{b^{2}-a^{2}}\right]=\frac{2b^2}{b^2-a^2}$

Answer 2

LHS

2{(1/a)/(1/a+1/b)}......as both terms on LHS are equal

2{(1/a)/(b+a/ab)}

2*1/a*(ab/b+a)

2b/b+a= RHS...