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

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Factor quadratics: special cases

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Q. Factor.

\newline

h^2 - 9

Determine Factoring Technique: Determine the appropriate factoring technique for $h^2 - 9$ . Since we have a difference of squares, we can use the formula $a^2 - b^2 = (a - b)(a + b)$ .
Identify Form of $a^2 - b^2$ : Identify $h^2 - 9$ in the form of $a^2 - b^2$ . $h^2$ can be written as $(h)^2$ , and $9$ can be written as $3^2$ , which means $h^2 - 9$ is in the form of $a^2 - b^2$ where $a = h$ and $h^2 - 9$ $0$ .
Apply Difference of Squares Formula: Apply the difference of squares formula to factor $h^2 - 9$ . Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we get $(h)^2 - 3^2 = (h - 3)(h + 3)$ .
Write Final Factored Form: Write the final factored form. $\newline$ The factored form of $h^2 - 9$ is $(h - 3)(h + 3)$ .

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