To factor the expression \( 9x^2 - 25 \) using the Distributive Property, we recognize that it is a difference of squares. The structure of a difference of squares is given by:
\[ a^2 - b^2 = (a - b)(a + b) \]
In this case, we can identify:
- \( a^2 = 9x^2 \) which means \( a = 3x \)
- \( b^2 = 25 \) which means \( b = 5 \)
Applying the difference of squares formula:
\[ 9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5) \]
Thus, the equivalent expression is:
\[ (3x + 5)(3x - 5) \]
So, the correct response is:
(3x + 5)(3x - 5)