Question

Срочно. В понятном формате. Желательно на листе или так,как ниже ⬇️
а)
$\frac{x}{x { }^{2} - 1}$
и
$\frac{x \ + 1}{2x - 2}$
Ответ:
$\frac{2x}{2x {}^{2} - 2}$
и
$\frac{x {}^{2} +2x + 1}{2x {}^{2} - 2 }$
​

Answer 1

$a) \frac{x}{(x - 1)(x + 1)} \: and \: \frac{x + 1}{2(x - 1)} \\ \frac{2x}{2(x - 1)(x + 1)} and \frac{(x + 1) ^{2} }{2(x - 1)(x + 1)}$
$b) \frac{4}{(x - 1)( x+ 1)} and \: \frac{x - 4}{3(x + 1)} \\ \frac{12}{3(x - 1)(x + 1)} and \: \frac{(x - 4)(x - 1)}{3(x - 1)(x + 1)}$
$c) \frac{x}{ {(x + 1)}^{2} } and \frac{6}{(x - 1)(x + 1)} \\ \frac{x(x - 1)}{ {(x - 1)(x + 1)}^{2} } and \frac{6(x + 1)}{(x - 1) {(x + 1)}^{2} }$
$d) \frac{1}{ {(x - 1)}^{2} } and \frac{ - 5}{(x - 1)(x + 1)} \\ \frac{x + 1}{ {(x - 1)}^{2}(x + 1) } and \frac{ - 5(x - 1)}{ {(x - 1)}^{2}(x + 1) }$