Question

( 2x + 1)²= __ (hint: expand this out)
a. 4x² + 1
b. 4x² + 5x + 1
c. 4x² + 4x + 1
d. x² + 4x + 1
type in the letter of the correct choice: a, b, c or d

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a + b)^2\) is \(a^2 + 2ab + b^2\). Here, \(a = 2x\) and \(b = 1\).

Step2: Substitute \(a\) and \(b\) into the formula

First, calculate \(a^2=(2x)^2 = 4x^2\). Then, calculate \(2ab = 2\times(2x)\times1 = 4x\). Finally, \(b^2 = 1^2 = 1\).

Step3: Combine the terms

Adding these terms together: \(4x^2 + 4x + 1\).

Answer:

C