Question

factor.
$4x^2 - 49$
$(?x + \square)(?x - \square)$

Explanation:

Step1: Identify the form

The expression \(4x^2 - 49\) is a difference of squares, which has the form \(a^2 - b^2=(a + b)(a - b)\).
Here, \(a^2 = 4x^2\), so \(a=\sqrt{4x^2}=2x\). And \(b^2 = 49\), so \(b=\sqrt{49}=7\).

Step2: Apply the formula

Using the difference of squares formula \(a^2 - b^2=(a + b)(a - b)\) with \(a = 2x\) and \(b = 7\), we get \((2x + 7)(2x - 7)\).

Answer:

\((2x + 7)(2x - 7)\) (So the blanks are filled as 2, 7, 2, 7 respectively)