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

The solution to 3/(x-5)+4/(x+4) is (7x-8)/((x-5)(x+4))

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

simplify

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

\frac{7 x - 8}{( x - 5 ) ( x + 4 )}

Solution steps

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

Least Common Multiplier of

x - 5, x + 4 : (x - 5) (x + 4)

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

3 (x + 4) + 4 (x - 5) : 7 x - 8

= \frac{7 x - 8}{( x - 5 ) ( x + 4 )}

i^{104}

- 1 \cdot (- \frac{1}{2})

\frac{12 x ^{6} y ^{2}}{18 x y ^{2}}

3 \frac{5}{8}

What is 3/(x-5)+4/(x+4) ?
The solution to 3/(x-5)+4/(x+4) is (7x-8)/((x-5)(x+4))