Step 1: Identify that the expression is a difference of squares.
25 - 9v^2 = (5)^2 - (3v)^2.
Step 2: Use the difference of squares formula a^2 - b^2 = (a - b)(a + b), where a = 5 and b = 3v.
Step 3: Substitute a and b back into the formula:
(5 - 3v)(5 + 3v).
Therefore, the factored form is
(25 - 9v^2) = (5 - 3v)(5 + 3v).