Question

factor.
25 - u²

Explanation:

Step1: Identify the form

The expression \(25 - u^2\) is a difference of squares, which has the form \(a^2 - b^2\). Here, \(a = 5\) (since \(5^2=25\)) and \(b = u\) (since \(u^2 = u^2\)).

Step2: Apply difference of squares formula

The formula for factoring a difference of squares is \(a^2 - b^2=(a + b)(a - b)\). Substituting \(a = 5\) and \(b = u\) into the formula, we get \((5 + u)(5 - u)\).

Answer:

\((5 + u)(5 - u)\)