Question

factor completely. 16j² - 1

Explanation:

Step1: Identify the form

The expression \(16j^2 - 1\) is a difference of squares, which has the form \(a^2 - b^2\), where \(a = 4j\) (since \((4j)^2=16j^2\)) and \(b = 1\) (since \(1^2 = 1\)).

Step2: Apply difference of squares formula

The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\). Substituting \(a = 4j\) and \(b = 1\) into the formula, we get \((4j + 1)(4j - 1)\).

Answer:

\((4j + 1)(4j - 1)\)