What is (x^2-17x+72)/(x^2-5x-24) ?

The solution to (x^2-17x+72)/(x^2-5x-24) is (x-9)/(x+3)

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simplify (x^2-17x+72)/(x^2-5x-24)

simplify

\frac{x ^{2} - 17 x + 72}{x ^{2} - 5 x - 24}

\frac{x - 9}{x + 3}

Solution steps

\frac{x ^{2} - 17 x + 72}{x ^{2} - 5 x - 24}

Factor

x^{2} - 17 x + 72 : (x - 8) (x - 9)

= \frac{( x - 8 ) ( x - 9 )}{x ^{2} - 5 x - 24}

Factor

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

= \frac{( x - 8 ) ( x - 9 )}{( x + 3 ) ( x - 8 )}

Cancel the common factor:

x - 8

= \frac{x - 9}{x + 3}

33 \times 2

\frac{6}{8} + \frac{5}{8}

(5 - z^{2})^{4}

\frac{x ^{4} - 625}{x - 5}

1 4^{0}

What is (x^2-17x+72)/(x^2-5x-24) ?
The solution to (x^2-17x+72)/(x^2-5x-24) is (x-9)/(x+3)