Упростите выражение [tex]( \frac{x}{y^{2} } - \frac{1}{x}) : ( \frac{1}{y} + \frac{1}{x} )[/tex]. Created by praslavov. algebra-ru

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praslavov @praslavov

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[tex]( \frac{x}{y^{2} } - \frac{1}{x}) : ( \frac{1}{y} + \frac{1}{x} )[/tex]

malakasha

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Удачи в учебе,мой друг!❤

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praslavov просто экзамены

praslavov лень решать

praslavov ))

teledima00

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$(\frac{x}{y^2} - \frac{1}{x}): (\frac{1}{y} + \frac{1}{x}) \\ \\ 1)\frac{x}{y^2} - \frac{1}{x}= \frac{x^2}{y^2x} - \frac{y^2}{y^2x} = \frac{x^2-y^2}{y^2x} \\\\2) \frac{1}{y} + \frac{1}{x}= \frac{x}{xy}+ \frac{y}{xy}= \frac{x+y}{xy}\\\\3) ( \frac{x^2-y^2}{y^2x}):(\frac{x+y}{xy})=\frac{x^2-y^2}{y^2x}*\frac{xy}{x+y}= \frac{xy(x-y)(x+y)}{y^2x(x+y)} = \frac{x-y}{y}$

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