Mathematics
ReitaHettinger
19

Simplify: [latex] \frac{x \sqrt{x}-y \sqrt{y} }{ \sqrt{x} - \sqrt{y} } [/latex]

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Carry751

[latex]\frac{x\sqrt{x} - y\sqrt{y}}{\sqrt{x} - \sqrt{y}} = \frac{(x\sqrt{x} - y\sqrt{y})(\sqrt{x} + \sqrt{y})}{(\sqrt{x} - \sqrt{y})(\sqrt{x} + \sqrt{y})} = \frac{x^{2} + x\sqrt{xy} - y\sqrt{xy} - y^{2}}{x - y}[/latex]

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