Simplify and express the results in simplest form - -x2-y2-x-x2-y2-y-x2-y2-y-x-x2-y2

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Question

Simplify and express the results in simplest form :
$\frac{\sqrt{x^{2} - y^{2}} + x}{\sqrt{x^{2} + y^{2}} + y} + \frac{\sqrt{x^{2} + y^{2}} - y}{x - \sqrt{x^{2} - y^{2}}}$

\frac{y^{2}}{x^{2}}

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\frac{y}{x}

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\frac{x^{2}}{y^{2}}

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None of these

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Solution

The correct option is D None of these

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Simplify and express the results in simplest form :√x2−y2+x√x2+y2+y+√x2+y2−yx−√x2−y2

The correct option is D None of these

Simplify and express the results in simplest form :
$\frac{\sqrt{x^{2} - y^{2}} + x}{\sqrt{x^{2} + y^{2}} + y} + \frac{\sqrt{x^{2} + y^{2}} - y}{x - \sqrt{x^{2} - y^{2}}}$