Problem 33
Question
Find each product. $$(3 x+2)(3 x-2)$$
Step-by-Step Solution
Verified Answer
The solution is \(9x^2 - 4\)
1Step 1: Apply FOIL Method
According to the FOIL method, multiply the First terms, then the Outer terms, Inner terms and finally Last terms. Hence, \((3x + 2)(3x - 2) = (3x * 3x) + (3x * -2) + (2 * 3x) + (2 * -2)\)
2Step 2: Simplify the terms
Simplify above terms, \((3x * 3x) + (3x * -2) + (2 * 3x) + (2 * -2) = 9x^2 - 6x + 6x - 4\)
3Step 3: Add like terms
Now add terms containing x, However, there are no like terms in this case. So the final answer is \(9x^2 - 4\)
Other exercises in this chapter
Problem 33
Factor each trinomial, or state that the trinomial is prime. $$ 20 x^{2}+27 x-8 $$
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Simplify each exponential expression in Exercises 23–64. $$\left(x^{-5}\right)^{3}$$
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Find the union of the sets. \(\\{ a, e, i, o, u\\} \cup \varnothing\)
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