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

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

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

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

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

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

x^{4} - 4 x + 3

72 + 72 + 18 + 18

\frac{( x - 4 ) ^{2} - 9}{( x + 3 ) ^{2} - 16}

\frac{2}{3} \times \frac{3}{5}

lo g_{10} (2^{x})

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