To solve for an expression equivalent to \( 9x^2 - 25 \) using the Distributive Property, we can recognize that this expression resembles the difference of squares. Specifically, it can be factored using the identity \( a^2 - b^2 = (a - b)(a + b) \).
In this case, we can identify \( 9x^2 \) as \( (3x)^2 \) and 25 as \( 5^2 \). Thus, we rewrite it as:
\[ 9x^2 - 25 = (3x)^2 - 5^2 \]
Applying the difference of squares formula:
\[ (3x - 5)(3x + 5) \]
So, the expression that is equivalent to \( 9x^2 - 25 \) is:
\[ (3x + 5)(3x - 5) \]
Which corresponds to the second option in your responses:
(3x + 5)(3x - 5).