What is (16)/(x^2-16)+2/(x+4) ?

The solution to (16)/(x^2-16)+2/(x+4) is 2/(x-4)

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simplify (16)/(x^2-16)+2/(x+4)

simplify

\frac{16}{x ^{2} - 16} + \frac{2}{x + 4}

\frac{2}{x - 4}

Solution steps

\frac{16}{x ^{2} - 16} + \frac{2}{x + 4}

Least Common Multiplier of

x^{2} - 16, x + 4 : (x + 4) (x - 4)

Adjust Fractions based on the LCM

= \frac{16}{( x + 4 ) ( x - 4 )} + \frac{2 ( x - 4 )}{( x + 4 ) ( x - 4 )}

Apply the fraction rule:

\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}

= \frac{16 + 2 ( x - 4 )}{( x + 4 ) ( x - 4 )}

Simplify

16 + 2 (x - 4) : 2 x + 8

= \frac{2 x + 8}{( x + 4 ) ( x - 4 )}

Cancel

\frac{2 x + 8}{( x + 4 ) ( x - 4 )} : \frac{2}{x - 4}

= \frac{2}{x - 4}

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What is (16)/(x^2-16)+2/(x+4) ?
The solution to (16)/(x^2-16)+2/(x+4) is 2/(x-4)