The given expression is the square of a binomial, such that:
(2x + 1)^2 = 4x^2 + 4x + 1
Then the correct option is C.
<h3>
Are the expressions equivalent?</h3>
We want to see if:
(2x + 1)^2
Is equivalent to (4x^2 + 1).
First, this is false, let's prove that.
We have the square of a binomial (2x + 1)^2. Remember the general formula:
(a + b)^2 = a^2 + 2ab + b^2
So if we apply this to our expression we get:
(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1
Then, the correct option is C.
If you want to learn more about binomials, you can read:
brainly.com/question/15246027
