Question

find the product. simplify your answer.
(4x - 2)(4x + 2)

Explanation:

Step1: Identify the formula

This is a product of a sum and a difference, which follows the formula \((a - b)(a + b)=a^2 - b^2\). Here, \(a = 4x\) and \(b = 2\).

Step2: Apply the formula

Substitute \(a = 4x\) and \(b = 2\) into the formula: \((4x)^2-2^2\).

Step3: Simplify the terms

Calculate \((4x)^2 = 16x^2\) and \(2^2 = 4\), so the expression becomes \(16x^2 - 4\).

Answer:

\(16x^2 - 4\)