Question

Please helppme with this question and thank you ​

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}}$

Step-by-step explanation:

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

Use the formula of a² - b² = ( a + b ) ( a - b )

$\longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}$

$\longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}}$

$\longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}$

$\longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} }$

Hope I helped!

Best regards! :D