Question

question
factor completely.
$16x^2 - 25$

Explanation:

Step1: Identify as difference of squares

The expression \(16x^2 - 25\) can be written as \((4x)^2 - 5^2\), which is a difference of squares. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\).

Step2: Apply the difference of squares formula

Here, \(a = 4x\) and \(b = 5\). Substituting into the formula, we get \((4x + 5)(4x - 5)\).

Answer:

\((4x + 5)(4x - 5)\)