What is 1/(x+4)+2/(x-4) ?

The solution to 1/(x+4)+2/(x-4) is (3x+4)/((x+4)(x-4))

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simplify 1/(x+4)+2/(x-4)

simplify

\frac{1}{x + 4} + \frac{2}{x - 4}

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

Solution steps

\frac{1}{x + 4} + \frac{2}{x - 4}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

3 + 192

- 4 x^{2} + 7 x - 8 - 10 x^{2} + 3 x + 9

4 - (- \frac{3}{2})

5 x^{2} - x

7 (5 k + 5 m - 4)

What is 1/(x+4)+2/(x-4) ?
The solution to 1/(x+4)+2/(x-4) is (3x+4)/((x+4)(x-4))