Question

factor.
9w² - 25

Explanation:

Step1: Identify the form

The expression \(9w^2 - 25\) is a difference of squares. The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\). Here, \(a^2 = 9w^2\) so \(a = 3w\), and \(b^2=25\) so \(b = 5\).

Step2: Apply the formula

Substitute \(a = 3w\) and \(b = 5\) into the difference of squares formula. So \(9w^2-25=(3w + 5)(3w - 5)\).

Answer:

\((3w + 5)(3w - 5)\)