Verified Answer :

olumideolawoyin

Answer:

\(\frac{ - 2(x + 6)}{ {x}^{2} - 16}\)

Step-by-step explanation:

\(\frac{x}{ {x}^{2} - 16 } - \frac{3}{x - 4}\)

\(= \frac{x}{ {x}^{2} - {4}^{2} } - \frac{3}{x - 4}\)

Find the LCM is

\({x}^{2} - {4}^{2} = (x - 4)(x + 4)\)

\(= \frac{x - 3(x + 4)}{ {x}^{2} - {4}^{2} }\)

\(= \frac{x - 3x - 12}{ {x}^{2} - {4}^{2} }\)

\(= \frac{ - 2x -12 }{ {x}^{2} - 16}\)

\(= \frac{ - 2(x + 6)}{ {x}^{2} - 16}\)

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