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Prove that : (a^(-1))/(a^(-1)+b^(-1))+(a...

Prove that : `(a^(-1))/(a^(-1)+b^(-1))+(a^(-1))/(a^(-1)-b^(-1))=(2b^2)/(b^2-a^2)`

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To prove the equation \[ \frac{a^{-1}}{a^{-1} + b^{-1}} + \frac{a^{-1}}{a^{-1} - b^{-1}} = \frac{2b^2}{b^2 - a^2} \] we will simplify the left-hand side step by step. ...
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