What is 5/(x+6)-3/(x^2+2x-24) ?

The solution to 5/(x+6)-3/(x^2+2x-24) is (5x-23)/((x+6)(x-4))

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simplify 5/(x+6)-3/(x^2+2x-24)

simplify

\frac{5}{x + 6} - \frac{3}{x ^{2} + 2 x - 24}

\frac{5 x - 23}{( x + 6 ) ( x - 4 )}

Solution steps

\frac{5}{x + 6} - \frac{3}{x ^{2} + 2 x - 24}

Least Common Multiplier of

x + 6, x^{2} + 2 x - 24 : (x + 6) (x - 4)

Adjust Fractions based on the LCM

= \frac{5 ( x - 4 )}{( x + 6 ) ( x - 4 )} - \frac{3}{( x + 6 ) ( x - 4 )}

Apply the fraction rule:

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

= \frac{5 ( x - 4 ) - 3}{( x + 6 ) ( x - 4 )}

Simplify

5 (x - 4) - 3 : 5 x - 23

= \frac{5 x - 23}{( x + 6 ) ( x - 4 )}

\frac{42}{14}

\frac{4 x - 24}{x ^{2} - 36}

112 a^{6}

(- x - y)^{2}

\frac{3 + 6}{6}

What is 5/(x+6)-3/(x^2+2x-24) ?
The solution to 5/(x+6)-3/(x^2+2x-24) is (5x-23)/((x+6)(x-4))