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Chapter 0: Problem 33

Find each product. $$(3 x+2)(3 x-2)$$

Short Answer

Expert verified
The product of \( (3x + 2) \) and \( (3x -2) \) is \(9x^2 - 4\)

Step by step solution

01

Identify the binomial terms

Here the expressions to be multiplied are \(3x + 2\) and \(3x - 2\). These are the binomials.
02

Apply the FOIL method

Multiply the first terms in each binomial, then the outside terms, the inside terms, and finally the last terms in each binomial. So, it should look like this: (3x * 3x) + (3x * -2) + (2 * 3x) + (2 * -2).
03

Simplify the products

Do the multiplications in the previous step, the result will be: \(9x^2 - 6x + 6x - 4\).
04

Combine like terms

-6x and +6x in the expression are cancel each other out, thus leaving us with \(9x^2 - 4\)

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Most popular questions from this chapter

This will help you prepare for the material covered in the next section. a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

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