Factor 4v^2-4v-8

$4 v^{2} - 4 v - 8$

Step 1

Factor $4$ out of $4 v^{2} - 4 v - 8$ .

Factor $4$ out of $4 v^{2}$ .

$4 (v^{2}) - 4 v - 8$

Factor $4$ out of $- 4 v$ .

$4 (v^{2}) + 4 (- v) - 8$

Factor $4$ out of $- 8$ .

$4 (v^{2}) + 4 (- v) + 4 (- 2)$

Factor $4$ out of $4 (v^{2}) + 4 (- v)$ .

$4 (v^{2} - v) + 4 (- 2)$

Factor $4$ out of $4 (v^{2} - v) + 4 (- 2)$ .

$4 (v^{2} - v - 2)$

Step 2

Factor.

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

$- 2, 1$

Write the factored form using these integers.

$4 ((v - 2) (v + 1))$

Remove unnecessary parentheses.

$4 (v - 2) (v + 1)$

Factor 4v^2-4v-8

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