Question

4x² - 1 = □

Explanation:

Step1: Identify the formula

The expression \(4x^2 - 1\) is a difference of squares. The formula for difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Rewrite the terms

We can rewrite \(4x^2\) as \((2x)^2\) and \(1\) as \(1^2\). So, \(a = 2x\) and \(b = 1\).

Step3: Apply the formula

Substituting into the difference of squares formula, we get \((2x + 1)(2x - 1)\).

Answer:

\((2x + 1)(2x - 1)\)