Problem 31
Question
Find each product. $$(x+3)(x-3)$$
Step-by-Step Solution
Verified Answer
\( x^2 - 9 \)
1Step 1: Identify the Binomials
The two binomials are \( (x+3) \) and \( (x-3) \).
2Step 2: Apply FOIL Method
FOIL stands for First, Outer, Inner, Last, which refers to the terms in each binomial. Multiply the First terms in each binomial, then multiply the Outer terms, the Inner terms, and lastly the Last terms in each binomial. So, it should look something like this: (x*x) + (x*(-3)) + (3*x) + (3*(-3)).
3Step 3: Simplify
Now, summarize the equation: \( x^2 -3x +3x -9 \). After simplifying, the equation becomes: \( x^2 - 9 \).
Other exercises in this chapter
Problem 31
Factor each trinomial, or state that the trinomial is prime. $$9 x^{2}-9 x+2$$
View solution Problem 31
Multiply or divide as indicated. $$\frac{x^{2}+x-12}{x^{2}+x-30} \cdot \frac{x^{2}+5 x+6}{x^{2}-2 x-3} \div \frac{x+3}{x^{2}+7 x+6}$$
View solution Problem 31
Use the quotient rule to simplify the expressions in Exercises \(23-32\) Assume that \(x>0\) $$\frac{\sqrt{200 x^{3}}}{\sqrt{10 x^{-1}}}$$
View solution Problem 32
Find the union of the sets. $$\\{0,1,3,5\\} \cup\\{2,4,6\\}$$
View solution