Where did I make a mistake in my simplification of the algebraic expression? – math.stackexchange.com

Where did I make a mistake in my simplification of the algebraic expression? – math.stackexchange.com

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I need to simplify $$\left(\frac{x^{-1}+y^{-1}}{yx^{-1}+xy^{-1}}\right)^{-1}+\left(\frac{x^{-1}+y^{-1}}{2}\right)^{-1}-\frac{x^{-1}-y^{-1}}{x^{-1}y^{-1}}$$ The conditions are $$xy\neq0$$ $$x\neq-y$$ ...

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