Basic Math Examples

$\frac{1}{2} n^{2} - 2 n - 6$

Step 1

Factor $\frac{1}{2}$ out of each term.

$\frac{1}{2} (n^{2} - 4 n - 12)$

Step 2

Factor.

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Step 2.1

Factor $n^{2} - 4 n - 12$ using the AC method.

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Step 2.1.1

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 $- 12$ and whose sum is $- 4$ .

$- 6, 2$

Step 2.1.2

Write the factored form using these integers.

$\frac{1}{2} \cdot ((n - 6) (n + 2))$

Step 2.2

Remove unnecessary parentheses.

$\frac{1}{2} \cdot (n - 6) (n + 2)$