Question

(1/(x - 1) + 1/(x + 1)) * (2x)/(x ^ 2 + 1)​

Answer 1

Answer:

$\frac{4 {x}^{2} }{ {x}^{4} - 1}$

Step-by-step explanation:

$(\frac{1}{x - 1} + \frac{1}{x + 1}) \times \frac{2x}{ {x}^{2} + 1 }$

$= > ( \frac{(x + 1) + (x - 1)}{(x - 1)(x + 1)} ) \times \frac{2x}{ {x}^{2} + 1}$

$= > \frac{2x}{{x}^{2} - 1} \times \frac{2x}{ {x}^{2} + 1}$

$= > \frac{2x \times 2x}{( {x}^{2} - 1)( {x}^{2} + 1) }$

$= > \frac{4 {x}^{2} }{ {x}^{4} - 1}$

Hope it helps. Thanks