What is (x^2-9)/(x^2-5x-24) ?

The solution to (x^2-9)/(x^2-5x-24) is (x-3)/(x-8)

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simplify (x^2-9)/(x^2-5x-24)

simplify

\frac{x ^{2} - 9}{x ^{2} - 5 x - 24}

\frac{x - 3}{x - 8}

Solution steps

\frac{x ^{2} - 9}{x ^{2} - 5 x - 24}

Factor

x^{2} - 9 : (x + 3) (x - 3)

= \frac{( x + 3 ) ( x - 3 )}{x ^{2} - 5 x - 24}

Factor

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

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

Cancel the common factor:

x + 3

= \frac{x - 3}{x - 8}

5 (6 w) + 6 w

- 6 (- 2 w + 7)

945

9 - 4

\frac{5}{7} \div \frac{3}{7}

What is (x^2-9)/(x^2-5x-24) ?
The solution to (x^2-9)/(x^2-5x-24) is (x-3)/(x-8)