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

The solution to 2/(x+4)+5/(x-3) is (7x+14)/((x+4)(x-3))

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

simplify

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

\frac{7 x + 14}{( x + 4 ) ( x - 3 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

2 (x - 3) + 5 (x + 4) : 7 x + 14

= \frac{7 x + 14}{( x + 4 ) ( x - 3 )}

- 3 x^{2}

3^{5} \cdot 3^{- 2}

3^{5} \cdot 3^{- 5}

\frac{15 h ^{- 2}}{12 h ^{- 7}}

\frac{4 b + 20}{5} - \frac{b - 1}{2}

What is 2/(x+4)+5/(x-3) ?
The solution to 2/(x+4)+5/(x-3) is (7x+14)/((x+4)(x-3))