What is (x^2-2x-8)/(x^2-16) ?

The solution to (x^2-2x-8)/(x^2-16) is (x+2)/(x+4)

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simplify (x^2-2x-8)/(x^2-16)

simplify

\frac{x ^{2} - 2 x - 8}{x ^{2} - 16}

\frac{x + 2}{x + 4}

Solution steps

\frac{x ^{2} - 2 x - 8}{x ^{2} - 16}

Factor

x^{2} - 2 x - 8 : (x + 2) (x - 4)

= \frac{( x + 2 ) ( x - 4 )}{x ^{2} - 16}

Factor

x^{2} - 16 : (x + 4) (x - 4)

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

Cancel the common factor:

x - 4

= \frac{x + 2}{x + 4}

x^{- 7} \cdot x^{5}

12 g^{2} + 18 g + 24

cos^{2} (5 y) - sin^{2} (5 y)

x^{5} - 4 x^{4} + 10 x^{2} - x - 6

1. 5^{5}

What is (x^2-2x-8)/(x^2-16) ?
The solution to (x^2-2x-8)/(x^2-16) is (x+2)/(x+4)