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Chapter 0: Problem 31

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

Short Answer

Expert verified
\( x^2 - 9 \)

Step by step solution

01

Identify the Binomials

The two binomials are \( (x+3) \) and \( (x-3) \).
02

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)).
03

Simplify

Now, summarize the equation: \( x^2 -3x +3x -9 \). After simplifying, the equation becomes: \( x^2 - 9 \).

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