What is (x^2-2x-24)/(x^2-36) ?

The solution to (x^2-2x-24)/(x^2-36) is (x+4)/(x+6)

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simplify (x^2-2x-24)/(x^2-36)

simplify

\frac{x ^{2} - 2 x - 24}{x ^{2} - 36}

\frac{x + 4}{x + 6}

Solution steps

\frac{x ^{2} - 2 x - 24}{x ^{2} - 36}

Factor

x^{2} - 2 x - 24 : (x + 4) (x - 6)

= \frac{( x + 4 ) ( x - 6 )}{x ^{2} - 36}

Factor

x^{2} - 36 : (x + 6) (x - 6)

= \frac{( x + 4 ) ( x - 6 )}{( x + 6 ) ( x - 6 )}

Cancel the common factor:

x - 6

= \frac{x + 4}{x + 6}

lo g_{2} (32768)

\frac{x - 5}{x ^{2} - 8 x + 15}

\frac{x ^{2} - x - 12}{x ^{2} + 5 x + 6}

x^{3} \cdot 3 x^{2}

2 x \cdot (- 2) x

What is (x^2-2x-24)/(x^2-36) ?
The solution to (x^2-2x-24)/(x^2-36) is (x+4)/(x+6)