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soldi70 [24.7K]
3 years ago
11

Please helppme with this question and thank you ​

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

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

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