Question

factor completely. ( f^2 - 4 )

Explanation:

Step1: Identify the formula

The expression \( f^2 - 4 \) is a difference of squares, which follows the formula \( a^2 - b^2=(a + b)(a - b) \).

Step2: Apply the formula

Here, \( a = f \) and \( b = 2 \) (since \( 4 = 2^2 \)). Substituting into the formula, we get \( f^2 - 2^2=(f + 2)(f - 2) \).

Answer:

\((f + 2)(f - 2)\)