Question

find the product. simplify your answer.
(4f - 1)(4f + 1)

Explanation:

Step1: Identify the formula

This is a difference of squares, formula: \((a - b)(a + b)=a^2 - b^2\)
Here, \(a = 4f\), \(b = 1\)

Step2: Apply the formula

Substitute \(a = 4f\) and \(b = 1\) into the formula:
\((4f)^2-1^2\)

Step3: Simplify the terms

\((4f)^2 = 16f^2\) and \(1^2 = 1\), so we get \(16f^2 - 1\)

Answer:

\(16f^2 - 1\)