Find the product. Simplify your answer. (k - 2)(k + 2) ______

Identify Special Case: Identify the special case for the product (k - 2)(k + 2). 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 (k - 2)(k + 2) with (a - b)(a + b). a = k b = 2Apply Difference of Squares Formula: Apply the difference of squares formula to expand (k - 2)(k + 2). (a - b)(a + b) = a^2 - b^2 (k - 2)(k + 2) = k^2 - 2^2Simplify the Expression: Simplify k^2 - 2^2. k^2 - 2^2 = k^2 - 4

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Find the product. Simplify your answer. $\newline$ $(k - 2)(k + 2)$

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(k - 2)(k + 2)

Identify Special Case: Identify the special case for the product $(k - 2)(k + 2)$ . $\newline$ This product is in the form of $(a - b)(a + b)$ , which is a difference of squares. $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify Values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(k - 2)(k + 2)$ with $(a - b)(a + b)$ . $a = k$ $b = 2$
Apply Difference of Squares Formula: Apply the difference of squares formula to expand $(k - 2)(k + 2)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(k - 2)(k + 2) = k^2 - 2^2$
Simplify the Expression: Simplify $k^2 - 2^2$ . $\newline$ $k^2 - 2^2 = k^2 - 4$