Alg1.2.12

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Express $\frac{x+4}{x+2}-\frac{x-1}{x-2}\,$ as a rational expression.

Simplifying the given expressions,we get

$\frac{x+4}{x+2}-\frac{x-1}{x-2}=\frac{(x+4)(x-2)-(x-1)(x+2)}{(x+2)(x-2)}\,$

$\frac{(x^2-2x+4x-8)-(x^2+2x-x-2)}{x^2-4}\,$

$\frac{(x^2+2x-8-x^2-x+2)}{x^2-4}\,$

$\frac{x-6}{x^2-4}\,$

Main Page:Algebra

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