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Chapter 0: Problem 31

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

Short Answer

Expert verified
The product of the binomials \((x+3)(x-3)\) is \(x^2 - 9\).

Step by step solution

01

Identify the Binomials

Here, we have two binomials. Binomial A is \(x+3\) and Binomial B is \(x-3\).
02

Apply the Formula

Since these binomials are a difference of squares, they follow the formula \(a^2 - b^2 = (a + b)(a - b)\). Here, 'a' represents 'x' and 'b' represents '3'. We just need to multiply the binomials together.
03

Multiply the Binomials

When we multiply the binomials, we have \((x+3)(x-3) = x^2 - (3)^2 = x^2 - 9\).

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