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

The solution to 3/(x+2)+5/(x-4) is (8x-2)/((x+2)(x-4))

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simplify 3/(x+2)+5/(x-4)

simplify

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

\frac{8 x - 2}{( x + 2 ) ( x - 4 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{3 ( x - 4 )}{( x + 2 ) ( x - 4 )} + \frac{5 ( x + 2 )}{( x + 2 ) ( x - 4 )}

Apply the fraction rule:

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

= \frac{3 ( x - 4 ) + 5 ( x + 2 )}{( x + 2 ) ( x - 4 )}

Simplify

3 (x - 4) + 5 (x + 2) : 8 x - 2

= \frac{8 x - 2}{( x + 2 ) ( x - 4 )}

- 4 - 144

- 5 yz + 10 x z

6 x^{2} - 25 x + 4

2^{- 4}

(4 x^{\frac{1}{3}} y^{2})^{3}

What is 3/(x+2)+5/(x-4) ?
The solution to 3/(x+2)+5/(x-4) is (8x-2)/((x+2)(x-4))