Question

Product of (2x+3)(2x+4)

Answer 1

Answer:

4x² + 14x + 12

Step-by-step 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.