What is (x^2-2x-24)/(x^2-5x-36) ?

The solution to (x^2-2x-24)/(x^2-5x-36) is (x-6)/(x-9)

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simplify (x^2-2x-24)/(x^2-5x-36)

simplify

\frac{x ^{2} - 2 x - 24}{x ^{2} - 5 x - 36}

\frac{x - 6}{x - 9}

Solution steps

\frac{x ^{2} - 2 x - 24}{x ^{2} - 5 x - 36}

Factor

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

= \frac{( x + 4 ) ( x - 6 )}{x ^{2} - 5 x - 36}

Factor

x^{2} - 5 x - 36 : (x + 4) (x - 9)

= \frac{( x + 4 ) ( x - 6 )}{( x + 4 ) ( x - 9 )}

Cancel the common factor:

x + 4

= \frac{x - 6}{x - 9}

4 p - 5 p - 30 p

- 5 - 12

- \frac{6}{- 4}

\frac{x}{x ^{2} + 6 x - 16} - \frac{5}{x + 8}

12 x + 27

What is (x^2-2x-24)/(x^2-5x-36) ?
The solution to (x^2-2x-24)/(x^2-5x-36) is (x-6)/(x-9)