Question

2/x-4 - x+8/x2-16 - 1/x​

Answer 1

Ответ:

$\frac{ - 2 {x}^{2} - {x}^{3} + 24x - 64}{ {2x}^{3} - {24x}^{2} + 64x}$

Пошаговое объяснение:

$\frac{2}{x - 4} - \frac{x + 8}{x2 - 16} - \frac{1}{x} \\ \frac{2x \times(2x - 16) - x( x - 4)(x + 8) - (x - 4)(2x - 16}{x(x - 4)(2x - 16)} \\ \frac{4 {x}^{2} - {x}^{3} - {8x}^{2} + {4x}^{2} - 2 {x}^{2} + 24x - 64 }{ {2x}^{3} - {24x}^{2} + 64x } \\ \frac{ - {x}^{3} - {2x}^{2} + 24x - 64}{ {2x}^{3} - {24x}^{2} + 64x }$

$\boxed{Ответ:{\boxed{\green{= \frac{ - 2 {x}^{2} - {x}^{3} + 24x - 64}{ {2x}^{3} - {24x}^{2} + 64x}}}}}$