Find the product. Simplify your answer. (n - 1)(n + 1) ______

Identify Special Case: Identify the special case that applies to the given expression. The expression (n - 1)(n + 1) is in the form of (a - b)(a + b). Special case: (a - b)(a + b) = a^2 - b^2Identify Values: Identify the values of a and b. Compare (n - 1)(n + 1) with (a - b)(a + b). a = n b = 1Apply Formula: Apply the difference of squares formula to expand (n - 1)(n + 1). (a - b)(a + b) = a^2 - b^2 (n - 1)(n + 1) = n^2 - 1^2Simplify Expression: Simplify n^2 - 1^2. n^2 - 1^2 = n^2 - 1

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Find the product. Simplify your answer. $\newline$ $(n - 1)(n + 1)$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(n - 1)(n + 1)

Identify Special Case: Identify the special case that applies to the given expression. $\newline$ The expression $(n - 1)(n + 1)$ is in the form of $(a - b)(a + b)$ . $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify Values: Identify the values of $a$ and $b$ . Compare $(n - 1)(n + 1)$ with $(a - b)(a + b)$ . $a = n$ $b = 1$
Apply Formula: Apply the difference of squares formula to expand $(n - 1)(n + 1)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(n - 1)(n + 1) = n^2 - 1^2$
Simplify Expression: Simplify $n^2 - 1^2$ . $\newline$ $n^2 - 1^2 = n^2 - 1$