Question

simplifique a expressão x^2/x^2-4-x+1\x+2

Answer 1

$\frac{ x^{2} }{x^2-4} - \frac{x+1}{x+2} = \\ \\ \frac{x^2}{(x+2)(x-2)} - \frac{x+1}{x+2} = \\ \\ mmc=(x+2)(x-2) \\ \\ \frac{x^2-(x+1)(x-2)}{(x+2)(x-2)} = \\ \\ \frac{x^2-(x^2-2x+x-2)}{(x+2)(x-2)} = \\ \\ \frac{\not x^2-\not x^2+2x-x+2}{(x+2)(x-2)} = \\ \\ \frac{x+2}{(x+2)(x-2)} = \\ \\ \frac{1}{x-2}$