Answer: use the 'grouping method' to get your answer (answer choice 'B')
Step-by-step explanation:
Take your first two terms, 2x^3 and 4x^2 and find a GCF. In this case, 2x^2 can go into both terms. Your first side should look like this 2x^2(x+2).
Take your last two terms (6x+12) and find a GCF. In this case, your GCF is 6 because both terms can fit into 6. Your second side should look like this 6(x+2).
We know we did this problem correctly because we can see that both parenthesis state the same thing, which is (x+2).
Your equation after finding a GCF in both sets should look something like this; 2x^2(x+2)+6(x+2).
Now, combine the 2x^2 and 6 together to get (2x^2+6) in one parenthesis set. Your second should include ONLY ONE of the '(x+2)'s.
Your final answer should look like this; (2x^2+6)(x+2). Therefore, your answer choice is 'B'.
Hope this helps, dawg.