Question

what is the product of (3x + 2) and (3x - 2)?

Explanation:

Step1: Identify the formula

The expression \((3x + 2)(3x - 2)\) is a difference of squares, which follows the formula \((a + b)(a - b)=a^2 - b^2\). Here, \(a = 3x\) and \(b = 2\).

Step2: Apply the formula

Substitute \(a = 3x\) and \(b = 2\) into the formula: \(a^2=(3x)^2 = 9x^2\) and \(b^2 = 2^2=4\). So, \((3x + 2)(3x - 2)=(3x)^2-2^2 = 9x^2 - 4\).

Answer:

\(9x^2 - 4\)