Answer:
4x² + 14x + 12
Explanation:
There are several different methods you can use to multiply binomials, but I will walk through the FOIL method.
First - Multiply the first terms of each binomial
2x · 2x
Outer - Multiply the outside terms of each binomial (the first term of the first binomial and the second term of the second binomial)
2x · 4
Inner - Multiply the inside terms of each binomial (the second term of the first binomial and the first term of the second binomial)
3 · 2x
Last - Multiply the last term of each binomial
3 · 4
Then you will add each product together to get the expression 4x² + 8x + 6x + 12. This is not our answer as we have to combine like terms to simplify.
After simplifying, 4x² + 14x + 12 will be the answer.