Question

factor by grouping.
$2v^{3}-3v^{2}+12v-18$

Explanation:

Step1: Group terms into pairs

$(2v^3 - 3v^2) + (12v - 18)$

Step2: Factor out GCF from each pair

$v^2(2v - 3) + 6(2v - 3)$

Step3: Factor out common binomial

$(2v - 3)(v^2 + 6)$

Answer:

$(2v - 3)(v^2 + 6)$