What is 5/(x+3)+x/(x^2-9) ?

The solution to 5/(x+3)+x/(x^2-9) is (6x-15)/((x+3)(x-3))

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simplify 5/(x+3)+x/(x^2-9)

simplify

\frac{5}{x + 3} + \frac{x}{x ^{2} - 9}

\frac{6 x - 15}{( x + 3 ) ( x - 3 )}

Solution steps

\frac{5}{x + 3} + \frac{x}{x ^{2} - 9}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{5 ( x - 3 )}{( x + 3 ) ( x - 3 )} + \frac{x}{( x + 3 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{5 ( x - 3 ) + x}{( x + 3 ) ( x - 3 )}

Simplify

5 (x - 3) + x : 6 x - 15

= \frac{6 x - 15}{( x + 3 ) ( x - 3 )}

\frac{4 i}{- 1 + i}

\frac{\frac{- 7}{5}}{( - \frac{14}{3} )}

7^{l o g_{7} (2)}

18 \times \frac{2}{3}

What is 5/(x+3)+x/(x^2-9) ?
The solution to 5/(x+3)+x/(x^2-9) is (6x-15)/((x+3)(x-3))