Simplify (x+5)/(x^2-x-30)

$\frac{x + 5}{x^{2} - x - 30}$

Step 1

Factor $x^{2} - x - 30$ 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 $- 30$ and whose sum is $- 1$ .

$- 6, 5$

Write the factored form using these integers.

$\frac{x + 5}{(x - 6) (x + 5)}$

Step 2

Cancel the common factor of $x + 5$ .

Cancel the common factor.

$\frac{x + 5}{(x - 6) (x + 5)}$

Rewrite the expression.

$\frac{1}{x - 6}$

Simplify (x+5)/(x^2-x-30)

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