Question

find the product. simplify your answer.
(2c - 3)(2c + 3)

Explanation:

Step1: Identify the formula

This is a difference of squares: \((a - b)(a + b) = a^2 - b^2\). Here, \(a = 2c\) and \(b = 3\).

Step2: Apply the formula

Substitute \(a = 2c\) and \(b = 3\) into the formula: \((2c)^2 - 3^2\).

Step3: Simplify the terms

Calculate \((2c)^2 = 4c^2\) and \(3^2 = 9\), so we get \(4c^2 - 9\).

Answer:

\(4c^2 - 9\)