Question

Упростите выражение.

Answer 1

$\frac{x^2 -25}{x+6} * \frac{1}{x^2 +5x} - \frac{x+5}{x^2 -6x} = - \frac{22}{x^2 -36} \\ \\ 1) \frac{x^2 -25}{x+6} * \frac{1}{x^ 2+5x} = \frac{(x-5)(x+5)*1}{(x+6)*(x(x+5)} = \frac{x-5}{x(x+6)}$
$2) \frac{x-5}{x(x+6)} - \frac{x+5}{x^2 -6x} = \frac{x^2 -6x-5x+30-x^2 -6x-5x-30}{x(x+6)(x-6)} = - \frac{22x}{x(x^2 -36)} = - \frac{22}{(x^2 -36)}$
Ответ: 4)