Question

factor.
$v^2 - 25$

Explanation:

Step1: Identify the form

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

Step2: Apply the difference of squares formula

The formula for factoring a difference of squares is \( a^2 - b^2=(a + b)(a - b) \). Substituting \( a = v \) and \( b = 5 \), we get \( v^2 - 25=(v + 5)(v - 5) \).

Answer:

\((v + 5)(v - 5)\)