Question

factor as the product of two binomials.
$x^2 - 64 = \square$
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Explanation:

Step1: Identify the form

The expression \(x^2 - 64\) is a difference of squares, which has the form \(a^2 - b^2\). Here, \(a = x\) and \(b = 8\) since \(8^2=64\).

Step2: Apply difference of squares formula

The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\). Substituting \(a = x\) and \(b = 8\) into the formula, we get \((x + 8)(x - 8)\).

Answer:

\((x + 8)(x - 8)\)