Factor 5v^2-30v+40

$5 v^{2} - 30 v + 40$

Step 1

Factor $5$ out of $5 v^{2} - 30 v + 40$ .

Factor $5$ out of $5 v^{2}$ .

$5 (v^{2}) - 30 v + 40$

Factor $5$ out of $- 30 v$ .

$5 (v^{2}) + 5 (- 6 v) + 40$

Factor $5$ out of $40$ .

$5 v^{2} + 5 (- 6 v) + 5 \cdot 8$

Factor $5$ out of $5 v^{2} + 5 (- 6 v)$ .

$5 (v^{2} - 6 v) + 5 \cdot 8$

Factor $5$ out of $5 (v^{2} - 6 v) + 5 \cdot 8$ .

$5 (v^{2} - 6 v + 8)$

Step 2

Factor.

Factor $v^{2} - 6 v + 8$ 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 $8$ and whose sum is $- 6$ .

$- 4, - 2$

Write the factored form using these integers.

$5 ((v - 4) (v - 2))$

Remove unnecessary parentheses.

$5 (v - 4) (v - 2)$

Factor 5v^2-30v+40

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