Algebra Examples

$\frac{p^{2} - 4 p - 32}{p + 4}$

Step 1

Factor $p^{2} - 4 p - 32$ using the AC method.

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Step 1.1

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 $- 32$ and whose sum is $- 4$ .

$- 8, 4$

Step 1.2

Write the factored form using these integers.

$\frac{(p - 8) (p + 4)}{p + 4}$

Step 2

Cancel the common factor of $p + 4$ .

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Step 2.1

Cancel the common factor.

$\frac{(p - 8) (p + 4)}{p + 4}$

Step 2.2

Divide $p - 8$ by $1$ .

$p - 8$