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

The solution to 3/(x^2-9)+5/(x+3) is (5x-12)/((x+3)(x-3))

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

simplify

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

\frac{5 x - 12}{( x + 3 ) ( x - 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 + 5 (x - 3) : 5 x - 12

= \frac{5 x - 12}{( x + 3 ) ( x - 3 )}

- 2 x - 3 + x - 5 - 4 x

4 (- 2 x) (1 - x^{2})^{3}

\frac{1}{1000}

- 6 360 k^{3}

\frac{100}{360}

What is 3/(x^2-9)+5/(x+3) ?
The solution to 3/(x^2-9)+5/(x+3) is (5x-12)/((x+3)(x-3))