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

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

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

simplify

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

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

Solution steps

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

Simplify

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

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

u (- t)

(- 5 m + 6) + (- m + 5) - 6

- 1 + (- 5)

\frac{a ^{2} + 2 a}{2 a + 4}

\frac{- 8 - 2 i}{6 i}

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