Question

10 fill in the blank 2.5 points factor the following expression: $x^2 - 64$ answers should be written in factored form. use ^ for exponents. type your answer... previous desk 1

Explanation:

Step1: Identify the formula

The expression \(x^2 - 64\) is a difference of squares. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the formula

Here, \(a = x\) and \(b = 8\) (since \(8^2 = 64\)). Substituting into the formula, we get \((x + 8)(x - 8)\).

Answer:

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