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5. $x^2 - 64$

Question

  1. $x^2 - 64$

Explanation:

Step1: Identify the formula

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

Step2: Apply the formula

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

Answer:

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