To find an expression equivalent to \( 9x^2 - 25 \) using the Distributive Property, we can recognize that this expression is a difference of squares.
The general form for a difference of squares is:
\[ a^2 - b^2 = (a - b)(a + b) \]
In this case, we can identify \( 9x^2 \) as \( (3x)^2 \) and \( 25 \) as \( 5^2 \). Thus, we have:
\[ 9x^2 - 25 = (3x)^2 - 5^2 \]
Applying the difference of squares formula gives us:
\[ (3x - 5)(3x + 5) \]
Now, we can match this expression with the options provided. The correct equivalent expression to \( 9x^2 - 25 \) is:
\((3x + 5)(3x - 5)\)
So the correct response is:
(3x + 5)(3x - 5)