What is 7/(x^2-5x-24)-2/(x+3) ?

The solution to 7/(x^2-5x-24)-2/(x+3) is (-2x+23)/((x+3)(x-8))

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simplify 7/(x^2-5x-24)-2/(x+3)

simplify

\frac{7}{x ^{2} - 5 x - 24} - \frac{2}{x + 3}

\frac{- 2 x + 23}{( x + 3 ) ( x - 8 )}

Solution steps

\frac{7}{x ^{2} - 5 x - 24} - \frac{2}{x + 3}

Least Common Multiplier of

x^{2} - 5 x - 24, x + 3 : (x + 3) (x - 8)

Adjust Fractions based on the LCM

= \frac{7}{( x + 3 ) ( x - 8 )} - \frac{2 ( x - 8 )}{( x + 3 ) ( x - 8 )}

Apply the fraction rule:

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

= \frac{7 - 2 ( x - 8 )}{( x + 3 ) ( x - 8 )}

Simplify

7 - 2 (x - 8) : - 2 x + 23

= \frac{- 2 x + 23}{( x + 3 ) ( x - 8 )}

(9 x + 5) (- 4 x - 8 + 10 x^{2})

0.1 3^{2}

\frac{3 ( t ^{2} ) ^{2}}{- 5 t ^{- 4}}

What is 7/(x^2-5x-24)-2/(x+3) ?
The solution to 7/(x^2-5x-24)-2/(x+3) is (-2x+23)/((x+3)(x-8))