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2 votes
Multiply:
(3x + 2)(3x - 2)
A) -3x².4
B) 6x².4
C) 6x² + 4
D) 9x².4​

1 Answer

3 votes

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.

User Julien Perrenoud
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