What is ((x+15))/((x^2-9))+2/((x+3)) ?

The solution to ((x+15))/((x^2-9))+2/((x+3)) is 3/(x-3)

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simplify ((x+15))/((x^2-9))+2/((x+3))

simplify

\frac{( x + 15 )}{( x ^{2} - 9 )} + \frac{2}{( x + 3 )}

\frac{3}{x - 3}

Solution steps

\frac{x + 15}{x ^{2} - 9} + \frac{2}{x + 3}

Least Common Multiplier of

x^{2} - 9, x + 3 : (x + 3) (x - 3)

Adjust Fractions based on the LCM

= \frac{x + 15}{( x + 3 ) ( x - 3 )} + \frac{2 ( x - 3 )}{( x + 3 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{x + 15 + 2 ( x - 3 )}{( x + 3 ) ( x - 3 )}

Simplify

x + 15 + 2 (x - 3) : 3 x + 9

= \frac{3 x + 9}{( x + 3 ) ( x - 3 )}

Cancel

\frac{3 x + 9}{( x + 3 ) ( x - 3 )} : \frac{3}{x - 3}

= \frac{3}{x - 3}

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What is ((x+15))/((x^2-9))+2/((x+3)) ?
The solution to ((x+15))/((x^2-9))+2/((x+3)) is 3/(x-3)