What is 3/(x-6)+4/(x+4) ?

The solution to 3/(x-6)+4/(x+4) is (7x-12)/((x-6)(x+4))

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simplify 3/(x-6)+4/(x+4)

simplify

\frac{3}{x - 6} + \frac{4}{x + 4}

\frac{7 x - 12}{( x - 6 ) ( x + 4 )}

Solution steps

\frac{3}{x - 6} + \frac{4}{x + 4}

Least Common Multiplier of

x - 6, x + 4 : (x - 6) (x + 4)

Adjust Fractions based on the LCM

= \frac{3 ( x + 4 )}{( x - 6 ) ( x + 4 )} + \frac{4 ( x - 6 )}{( x - 6 ) ( x + 4 )}

Apply the fraction rule:

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

= \frac{3 ( x + 4 ) + 4 ( x - 6 )}{( x - 6 ) ( x + 4 )}

Simplify

3 (x + 4) + 4 (x - 6) : 7 x - 12

= \frac{7 x - 12}{( x - 6 ) ( x + 4 )}

\frac{6}{3} + \frac{4}{3}

(w + 2 t) (w^{2} - 2 wt + 4 t^{2})

1^{2} + (\frac{1}{2})^{2}

\frac{9}{7} - \frac{1}{21}

- 81 m^{3}

What is 3/(x-6)+4/(x+4) ?
The solution to 3/(x-6)+4/(x+4) is (7x-12)/((x-6)(x+4))