What is ((x^2-5x-24))/((x^2-64)) ?

The solution to ((x^2-5x-24))/((x^2-64)) is (x+3)/(x+8)

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simplify ((x^2-5x-24))/((x^2-64))

simplify

\frac{( x ^{2} - 5 x - 24 )}{( x ^{2} - 64 )}

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

Solution steps

\frac{x ^{2} - 5 x - 24}{x ^{2} - 64}

Factor

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

= \frac{( x + 3 ) ( x - 8 )}{x ^{2} - 64}

Factor

x^{2} - 64 : (x + 8) (x - 8)

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

Cancel the common factor:

x - 8

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

512 (x^{6})^{a} + 729 (y^{3})^{b}

- (- \frac{5}{6} x - \frac{2}{3})

\frac{( 2 x - 34 y )}{( 5 y - 15 x )}

(x - 2) (x + 2) (x + 3) - (x + 1)^{3}

15 (x - 3 y) - 3 \cdot (3 x - x)^{2}

What is ((x^2-5x-24))/((x^2-64)) ?
The solution to ((x^2-5x-24))/((x^2-64)) is (x+3)/(x+8)