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find the product. simplify your answer. (2f + 4)(2f - 4)

Question

find the product. simplify your answer.
(2f + 4)(2f - 4)

Explanation:

Step1: Identify the formula

This is a difference of squares: \((a + b)(a - b) = a^2 - b^2\). Here, \(a = 2f\), \(b = 4\).

Step2: Apply the formula

Substitute \(a = 2f\) and \(b = 4\) into the formula: \((2f)^2 - 4^2\).

Step3: Simplify each term

\((2f)^2 = 4f^2\) and \(4^2 = 16\), so the result is \(4f^2 - 16\).

Answer:

\(4f^2 - 16\)