What is (x^2-17x+72)/(x^2-6x-27) ?

The solution to (x^2-17x+72)/(x^2-6x-27) is (x-8)/(x+3)

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simplify (x^2-17x+72)/(x^2-6x-27)

simplify

\frac{x ^{2} - 17 x + 72}{x ^{2} - 6 x - 27}

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

Solution steps

\frac{x ^{2} - 17 x + 72}{x ^{2} - 6 x - 27}

Factor

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

= \frac{( x - 8 ) ( x - 9 )}{x ^{2} - 6 x - 27}

Factor

x^{2} - 6 x - 27 : (x + 3) (x - 9)

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

Cancel the common factor:

x - 9

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

\frac{x}{x - 10} - \frac{x - 2}{x + 6}

(t - 4)^{2}

\frac{6 x - 8}{4 x - 1} + \frac{x + 3}{4 x - 1}

- 25 \div 5

(\frac{( \frac{6}{5} + \frac{1}{3} ) - ( \frac{1}{2} + \frac{3}{4} )}{\frac{5}{2} - \frac{16}{3}})^{3}

What is (x^2-17x+72)/(x^2-6x-27) ?
The solution to (x^2-17x+72)/(x^2-6x-27) is (x-8)/(x+3)