Factor. n^2 - 9 ______

Determine factoring technique: Determine the appropriate factoring technique for n^2 - 9. Since n^2 - 9 is a difference of squares, we can use the factoring formula a^2 - b^2 = (a - b)(a + b).Identify terms as squares: Identify the terms in the expression n^2 - 9 as squares. n^2 is the square of n, and 9 is the square of 3. Therefore, n^2 - 9 can be written as n^2 - 3^2.Apply difference of squares formula: Apply the difference of squares formula to factor the expression. Using the formula a^2 - b^2 = (a - b)(a + b), we get: n^2 - 3^2 = (n - 3)(n + 3).

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Factor. $\newline$ $n^2 - 9$

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor.

\newline

n^2 - 9

Determine factoring technique: Determine the appropriate factoring technique for $n^2 - 9$ . Since $n^2 - 9$ is a difference of squares, we can use the factoring formula $a^2 - b^2 = (a - b)(a + b)$ .
Identify terms as squares: Identify the terms in the expression $n^2 - 9$ as squares. $\newline$ $n^2$ is the square of $n$ , and $9$ is the square of $3$ . Therefore, $n^2 - 9$ can be written as $n^2 - 3^2$ .
Apply difference of squares formula: Apply the difference of squares formula to factor the expression. $\newline$ Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we get: $\newline$ $n^2 - 3^2 = (n - 3)(n + 3)$ .