What is 2/(x-6)+3/(x+5) ?

The solution to 2/(x-6)+3/(x+5) is (5x-8)/((x-6)(x+5))

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simplify 2/(x-6)+3/(x+5)

simplify

\frac{2}{x - 6} + \frac{3}{x + 5}

\frac{5 x - 8}{( x - 6 ) ( x + 5 )}

Solution steps

\frac{2}{x - 6} + \frac{3}{x + 5}

Least Common Multiplier of

x - 6, x + 5 : (x - 6) (x + 5)

Adjust Fractions based on the LCM

= \frac{2 ( x + 5 )}{( x - 6 ) ( x + 5 )} + \frac{3 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{2 ( x + 5 ) + 3 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Simplify

2 (x + 5) + 3 (x - 6) : 5 x - 8

= \frac{5 x - 8}{( x - 6 ) ( x + 5 )}

19 x^{10}

\frac{96}{5}

\frac{60}{16}

(4 x^{2} - 3 x - 3) (x^{2} + 4 x + 1)

\frac{60}{25}

What is 2/(x-6)+3/(x+5) ?
The solution to 2/(x-6)+3/(x+5) is (5x-8)/((x-6)(x+5))