Question

A^-1/[a^-1 - b^-1] + a^-1/[a^-1 + b^-1]

Answer 1

$\dfrac{a^{-1}}{a^{-1}-b^{-1}}+\dfrac{a^{-1}}{a^{-1}+b^{-1}}=a^{-1}\left(\dfrac{a^{-1}+b^{-1}}{(a^{-1}-b^{-1})(a^{-1}+b^{-1})}+\dfrac{a^{-1}-b^{-1}}{(a^{-1}+b^{-1})(a^{-1}-b^{-1})}\right)$

$=a^{-1}\left(\dfrac{(a^{-1}+b^{-1})+(a^{-1}-b^{-1})}{a^{-2}-b^{-2}}\right)$

$=\dfrac{2a^{-2}}{a^{-2}-b^{-2}}$

$=\dfrac{2b^2}{b^2-a^2}$

Answer 2

Answer: Hopes it helps..... Your welcome