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Chapter 0: Problem 33

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

Short Answer

Expert verified
The solution is \(9x^2 - 4\)

Step by step solution

01

Apply FOIL Method

According to the FOIL method, multiply the First terms, then the Outer terms, Inner terms and finally Last terms. Hence, \((3x + 2)(3x - 2) = (3x * 3x) + (3x * -2) + (2 * 3x) + (2 * -2)\)
02

Simplify the terms

Simplify above terms, \((3x * 3x) + (3x * -2) + (2 * 3x) + (2 * -2) = 9x^2 - 6x + 6x - 4\)
03

Add like terms

Now add terms containing x, However, there are no like terms in this case. So the final answer is \(9x^2 - 4\)

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