Question

Please helpp
me with this question and thank you
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Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ (4x)/((x + 2)(x - 2))}}}}}`

Explanation:

`\sf{ (1)/(x + 2) + (1)/(x - 2) + \frac{2x}{ {x}^(2) + 4} }`

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

`\longrightarrow{ \sf{ (1)/(x + 2) + (1)/(x - 2) + \frac{2x}{ {x}^(2) + {2}^(2) } }}`

`\longrightarrow{ \sf{ (1)/(x + 2) + (1)/(x - 2) + (2x)/((x + 2)(x - 2))}}`

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

`\longrightarrow{ \sf{ (4x)/((x + 2)(x - 2))} }`

Hope I helped!

Best regards! :D