Question

Скоротіть дріб: x - 3/x² - x - 6​

Answer 1

$\frac{x - 3}{ {x}^{2} - x - 6} = \frac{x - 3}{ {x}^{2} + 2x - 3x - 6 } = \\ \frac{x - 3}{x(x + 2) - 3(x + 2 )} = \frac{x - 3}{(x + 2)(x - 3)} = \frac{1}{x + 2}$