Find the product. Simplify your answer. (r - 3)(r + 3) ______

Identify special case: Identify the special case that applies here. The expression (r - 3)(r + 3) is in the form of (a - b)(a + b). Special case: (a - b)(a + b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (r - 3)(r + 3) with (a - b)(a + b). a = r b = 3Apply difference of squares formula: Apply the difference of squares formula to expand (r - 3)(r + 3). (a - b)(a + b) = a^2 - b^2 (r - 3)(r + 3) = r^2 - 3^2Simplify expression: Simplify r^2 - 3^2. r^2 - 3^2 = r^2 - (3 * 3) r^2 - 3^2 = r^2 - 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(r - 3)(r + 3)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the product. Simplify your answer.

\newline

(r - 3)(r + 3)

Identify special case: Identify the special case that applies here. $\newline$ The expression $(r - 3)(r + 3)$ is in the form of $(a - b)(a + b)$ . $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(r - 3)(r + 3)$ with $(a - b)(a + b)$ . $a = r$ $b = 3$
Apply difference of squares formula: Apply the difference of squares formula to expand $(r - 3)(r + 3)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(r - 3)(r + 3) = r^2 - 3^2$
Simplify expression: Simplify $r^2 - 3^2$ .
$r^2 - 3^2 = r^2 - (3 \times 3)$
$r^2 - 3^2 = r^2 - 9$