Simplify ((x+2)/(x^2-6x-16))

$(\frac{x + 2}{x^{2} - 6 x - 16})$

Remove parentheses.

$\frac{x + 2}{x^{2} - 6 x - 16}$

Factor $x^{2} - 6 x - 16$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 16$ and whose sum is $- 6$ .

$- 8, 2$

Write the factored form using these integers.

$\frac{x + 2}{(x - 8) (x + 2)}$

Cancel the common factor of $x + 2$ .

Cancel the common factor.

$\frac{x + 2}{(x - 8) (x + 2)}$

Rewrite the expression.

$\frac{1}{x - 8}$

Simplify ((x+2)/(x^2-6x-16))

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