Question

Simplifiquem a expressão racional:
(x ^ 2)/(x ^ 2 - 4) - (x + 1)/(x + 2)

Answer 1

$\frac{x^2}{x^2-4}-\frac{x+1}{x+2}=$

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

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

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

$\frac{x^2-(x^2-x-2)}{(x+2)(x-2)}=$

$\frac{x^2-x^2+x+2}{(x+2)(x-2)}=$

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

$\frac{1}{x-2}$