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

Identify special case: Identify the special case for the product (f - 3)(f + 3). This product is in the form of (a - b)(a + b), which is a difference of squares. Special case: (a - b)(a + b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (f - 3)(f + 3) with (a - b)(a + b). a = f b = 3Apply difference of squares formula: Apply the difference of squares formula to expand (f - 3)(f + 3). (a - b)(a + b) = a^2 - b^2 (f - 3)(f + 3) = f^2 - 3^2Simplify expression: Simplify f^2 - 3^2. f^2 - 3^2 = f^2 - (3 * 3) f^2 - 3^2 = f^2 - 9

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

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(f - 3)(f + 3)

Identify special case: Identify the special case for the product $(f - 3)(f + 3)$ . This product is in the form of $(a - b)(a + b)$ , which is a difference of squares. Special case: $(a - b)(a + b) = a^2 - b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(f - 3)(f + 3)$ with $(a - b)(a + b)$ . $a = f$ $b = 3$
Apply difference of squares formula: Apply the difference of squares formula to expand $(f - 3)(f + 3)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(f - 3)(f + 3) = f^2 - 3^2$
Simplify expression: Simplify $f^2 - 3^2$ . $\newline$ $f^2 - 3^2 = f^2 - (3 \times 3)$ $\newline$ $f^2 - 3^2 = f^2 - 9$