Question

find the product.
(2x + 2)²

(2x + 2)² = □

Explanation:

Step1: Recall the square of a binomial formula

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

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

First, calculate \(a^2=(2x)^2 = 4x^2\). Then, calculate \(2ab = 2\times(2x)\times2=8x\). Next, calculate \(b^2 = 2^2 = 4\). Finally, add them together: \(4x^2+8x + 4\).

Answer:

\(4x^{2}+8x + 4\)