Question

Помогите упростить выражение!

Answer 1

Ответ:

$\frac{ {x}^{2} - 9}{ {x}^{2} + 3x } - \frac{ 6{x}^{2} - 5}{6 {x}^{2} } + \frac{3}{x} = \\ \frac{(x + 3)(x - 3)}{x(x + 3)} - \frac{6 {x}^{2} - 5}{6 {x}^{2} } + \frac{3}{x} = \\ \frac{x - 3}{x} - \frac{6 {x}^{2} - 5}{6 {x}^{2} } + \frac{3}{x} = \\ \frac{6x(x - 3) - 6 {x}^{2} + 5 + 18x }{6 {x}^{2} } = \\ \frac{6 {x}^{2} - 18x - 6 {x}^{2} + 5 + 18x }{6 {x}^{2} } = \\ \frac{5}{6 {x}^{2} }$