(x^-1 + y^-1)^-1 Simplification

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Q. \( (x^{-1} + y^{-1})^{-1} \)

тЬПя╕П Solution

\( = \left(\frac{1}{x} + \frac{1}{y}\right)^{-1} \)

\( = \left(\frac{x + y}{xy}\right)^{-1} \)

\( = \frac{xy}{x + y} \)

\( \boxed{\frac{xy}{x+y}} \)

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