Simplify (x+8)/(x^2-2x-80)

$\frac{x + 8}{x^{2} - 2 x - 80}$

Step 1

Factor $x^{2} - 2 x - 80$ 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 $- 80$ and whose sum is $- 2$ .

$- 10, 8$

Write the factored form using these integers.

$\frac{x + 8}{(x - 10) (x + 8)}$

Step 2

Cancel the common factor of $x + 8$ .

Cancel the common factor.

$\frac{x + 8}{(x - 10) (x + 8)}$

Rewrite the expression.

$\frac{1}{x - 10}$

Simplify (x+8)/(x^2-2x-80)

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