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what is x+2/x - x/x+2

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[tex]\frac{x + 2}{x} - \frac{x}{x + 2} = \frac{(x + 2)(x + 2)}{x(x + 2)} - \frac{(x)(x)}{x(x - 2)} = \frac{x^{2} + 4x + 4}{x^{2} + 2x} - \frac{x^{2}}{x^{2} + 2x} = \frac{4x + 4}{x^{2} + 2x} = \frac{4(x + 1)}{x(x + 2)}[/tex]
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