What is 6/(x-4)-2/(x+5) ?

The solution to 6/(x-4)-2/(x+5) is (4x+38)/((x-4)(x+5))

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simplify 6/(x-4)-2/(x+5)

simplify

\frac{6}{x - 4} - \frac{2}{x + 5}

\frac{4 x + 38}{( x - 4 ) ( x + 5 )}

Solution steps

\frac{6}{x - 4} - \frac{2}{x + 5}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6 ( x + 5 )}{( x - 4 ) ( x + 5 )} - \frac{2 ( x - 4 )}{( x - 4 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{6 ( x + 5 ) - 2 ( x - 4 )}{( x - 4 ) ( x + 5 )}

Simplify

6 (x + 5) - 2 (x - 4) : 4 x + 38

= \frac{4 x + 38}{( x - 4 ) ( x + 5 )}

(4 x^{2} + 9 x + 6) (x^{2} - 3 x + 2)

75 x^{10}

a (a - 3) (a + 3)

6 x 1 0^{5}

113 - 12

What is 6/(x-4)-2/(x+5) ?
The solution to 6/(x-4)-2/(x+5) is (4x+38)/((x-4)(x+5))