Упростить выражение [tex]2( \sqrt{x} + \sqrt{y}) - \frac{x - y}{ \sqrt{x} + \sqrt{y} } [/tex]. Created by BlazeBTM. algebra-ru

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[tex]2( \sqrt{x} + \sqrt{y}) - \frac{x - y}{ \sqrt{x} + \sqrt{y} } [/tex]

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$2( \sqrt{x} + \sqrt{y}) - \frac{x-y}{ \sqrt{x}+ \sqrt{y} } =2( \sqrt{x} + \sqrt{y} )- \frac{( \sqrt{x} - \sqrt{y} )( \sqrt{x} + \sqrt{y}) }{ \sqrt{x} + \sqrt{y} }=2 \sqrt{x} +2 \sqrt{y}$ $- \sqrt{x} + \sqrt{y} = \sqrt{x} +3 \sqrt{y}$

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