Problem 33
Question
Find each product. $$(3 x+2)(3 x-2)$$
Step-by-Step Solution
Verified Answer
The product of \( (3x + 2) \) and \( (3x -2) \) is \(9x^2 - 4\)
1Step 1: Identify the binomial terms
Here the expressions to be multiplied are \(3x + 2\) and \(3x - 2\). These are the binomials.
2Step 2: 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).
3Step 3: Simplify the products
Do the multiplications in the previous step, the result will be: \(9x^2 - 6x + 6x - 4\).
4Step 4: Combine like terms
-6x and +6x in the expression are cancel each other out, thus leaving us with \(9x^2 - 4\)
Other exercises in this chapter
Problem 33
Factor each trinomial, or state that the trinomial is prime. $$20 x^{2}+27 x-8$$
View solution Problem 33
Add or subtract as indicated. $$\frac{4 x+1}{6 x+5}+\frac{8 x+9}{6 x+5}$$
View solution Problem 33
In Exercises \(33-44,\) add or subtract terms whenever possible. $$7 \sqrt{3}+6 \sqrt{3}$$
View solution Problem 34
Find the union of the sets. $$\\{e, m, p, t, y\\} \cup \varnothing$$
View solution