What is 3/(x+7)+4/(x-8) ?

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

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simplify 3/(x+7)+4/(x-8)

simplify

\frac{3}{x + 7} + \frac{4}{x - 8}

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

Solution steps

\frac{3}{x + 7} + \frac{4}{x - 8}

Least Common Multiplier of

x + 7, x - 8 : (x + 7) (x - 8)

Adjust Fractions based on the LCM

= \frac{3 ( x - 8 )}{( x + 7 ) ( x - 8 )} + \frac{4 ( x + 7 )}{( x + 7 ) ( x - 8 )}

Apply the fraction rule:

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

= \frac{3 ( x - 8 ) + 4 ( x + 7 )}{( x + 7 ) ( x - 8 )}

Simplify

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

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

i^{96}

\frac{14}{7}

(9 y^{5} + 2)^{2}

\frac{22}{7}

(5 u + 4 y) (5 u - 4 y)

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