Question

$frac{4}{x + 4} - frac{x}{x - 4}$

Answer 1

$frac{4}{x + 4} - frac{x}{x - 4} \ \ frac{4(x - 4) - x times (x + 4)}{(x + 4) times (x - 4)} \ \ frac{4x - 16 - x {}^{2} - 4x}{x {}^{2} - 16} \ \ frac{ - 16 - x {}^{2} }{x {}^{2} - 16} \ \ - frac{16 + x {}^{2} }{x {}^{2} - 16}$