What is (x^2-3x-40)/(x^2-11x+24) ?

The solution to (x^2-3x-40)/(x^2-11x+24) is (x+5)/(x-3)

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simplify (x^2-3x-40)/(x^2-11x+24)

simplify

\frac{x ^{2} - 3 x - 40}{x ^{2} - 11 x + 24}

\frac{x + 5}{x - 3}

Solution steps

\frac{x ^{2} - 3 x - 40}{x ^{2} - 11 x + 24}

Factor

x^{2} - 3 x - 40 : (x + 5) (x - 8)

= \frac{( x + 5 ) ( x - 8 )}{x ^{2} - 11 x + 24}

Factor

x^{2} - 11 x + 24 : (x - 3) (x - 8)

= \frac{( x + 5 ) ( x - 8 )}{( x - 3 ) ( x - 8 )}

Cancel the common factor:

x - 8

= \frac{x + 5}{x - 3}

\frac{4 10}{2}

5 \times 6

2 + 7 + 3

\frac{3}{5} - \frac{2}{10}

9 \times 25

What is (x^2-3x-40)/(x^2-11x+24) ?
The solution to (x^2-3x-40)/(x^2-11x+24) is (x+5)/(x-3)