What is 3/(x+4)+2/(x-2) ?

The solution to 3/(x+4)+2/(x-2) is (5x+2)/((x+4)(x-2))

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simplify 3/(x+4)+2/(x-2)

simplify

\frac{3}{x + 4} + \frac{2}{x - 2}

\frac{5 x + 2}{( x + 4 ) ( x - 2 )}

Solution steps

\frac{3}{x + 4} + \frac{2}{x - 2}

Least Common Multiplier of

x + 4, x - 2 : (x + 4) (x - 2)

Adjust Fractions based on the LCM

= \frac{3 ( x - 2 )}{( x + 4 ) ( x - 2 )} + \frac{2 ( x + 4 )}{( x + 4 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{3 ( x - 2 ) + 2 ( x + 4 )}{( x + 4 ) ( x - 2 )}

Simplify

3 (x - 2) + 2 (x + 4) : 5 x + 2

= \frac{5 x + 2}{( x + 4 ) ( x - 2 )}

\frac{3 + \frac{5}{8}}{2 - \frac{3}{4}}

\frac{2 π}{86400}

(- \frac{2}{5})^{- 3}

7 - 1

\frac{2}{2 x ^{2} + 5 x + 3} - \frac{1}{2 x ^{2} - x - 6} + \frac{3}{x ^{2} - x - 2}

What is 3/(x+4)+2/(x-2) ?
The solution to 3/(x+4)+2/(x-2) is (5x+2)/((x+4)(x-2))