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Factor. $\newline$ $x^2 - 4$

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Factor quadratics: special cases

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Q. Factor.

\newline

x^2 - 4

Determine Factoring Technique: Determine the appropriate factoring technique for $x^2 - 4$ . The expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ .
Identify Squares in Expression: Identify the terms in the expression $x^2 - 4$ as squares. $\newline$ $x^2$ is the square of $x$ , and $4$ is the square of $2$ . $\newline$ So, $x^2 - 4$ can be written as $x^2 - 2^2$ .
Apply Difference of Squares Formula: Apply the difference of squares formula to factor $x^2 - 4$ . Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we get: $x^2 - 2^2 = (x - 2)(x + 2)$ .

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