Question

find the square. simplify your answer.
(2q - 2)²

Explanation:

Step1: Recall the square of a binomial formula

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

Step2: Apply the formula

First, calculate \(a^2=(2q)^2 = 4q^2\). Then, calculate \(-2ab=-2\times(2q)\times2=-8q\). Next, calculate \(b^2 = 2^2 = 4\). Finally, combine these terms: \(4q^2-8q + 4\).

Answer:

\(4q^{2}-8q + 4\)