Final answer:
To multiply (3x + 2)(3x - 2), you use the difference of squares formula resulting in 9x² - 4, which is option D.
Step-by-step explanation:
The question asks us to multiply the binomials (3x + 2)(3x - 2). This is a difference of squares, which follows the formula (a + b)(a - b) = a² - b². Substituting 3x for a and 2 for b, we expand the expression:
(3x) · (3x) - (2) · (2) = 9x² - 4
This follows the rule that when two positive numbers multiply, the result is a positive number, and the same with two negative numbers. However, when the numbers multiplied have opposite signs, the result is negative. After simplifying the expression, the final answer is 9x² - 4, which corresponds to option D.