What is (x^2-7x-30)/(x^2-5x-24) ?

The solution to (x^2-7x-30)/(x^2-5x-24) is (x-10)/(x-8)

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simplify (x^2-7x-30)/(x^2-5x-24)

simplify

\frac{x ^{2} - 7 x - 30}{x ^{2} - 5 x - 24}

\frac{x - 10}{x - 8}

Solution steps

\frac{x ^{2} - 7 x - 30}{x ^{2} - 5 x - 24}

Factor

x^{2} - 7 x - 30 : (x + 3) (x - 10)

= \frac{( x + 3 ) ( x - 10 )}{x ^{2} - 5 x - 24}

Factor

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

= \frac{( x + 3 ) ( x - 10 )}{( x + 3 ) ( x - 8 )}

Cancel the common factor:

x + 3

= \frac{x - 10}{x - 8}

- - 39

\frac{2}{3} \times \frac{5}{8}

10 \frac{1}{7} \cdot 9 \frac{6}{7}

\frac{3 b}{21 a} + \frac{18 a}{14}

x^{3} - 3 x^{2} - 25 x + 75

What is (x^2-7x-30)/(x^2-5x-24) ?
The solution to (x^2-7x-30)/(x^2-5x-24) is (x-10)/(x-8)