Question

find the square. simplify your answer.
(2z + 1)²

Explanation:

Step1: Recall the square of a binomial formula

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

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

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

Step3: Combine the terms

Add the three terms together: \(4z^2 + 4z + 1\).

Answer:

\(4z^2 + 4z + 1\)