Question

factor completely.
81v² - 25

Explanation:

Step1: Identify difference of squares

$81v^2 = (9v)^2$, $25 = 5^2$

Step2: Apply difference of squares formula

Use $a^2 - b^2 = (a+b)(a-b)$, where $a=9v$, $b=5$

Answer:

$(9v + 5)(9v - 5)$