To find the expression equivalent to \( 9x^2 - 25 \) using the Distributive Property, we can recognize that this expression resembles the difference of squares, which can be factored as \( a^2 - b^2 = (a - b)(a + b) \).
Here, we can see:
- \( 9x^2 \) is \( (3x)^2 \)
- \( 25 \) is \( 5^2 \)
Thus, we can factor \( 9x^2 - 25 \) as follows:
\[ 9x^2 - 25 = (3x)^2 - (5)^2 \]
Using the difference of squares formula:
\[ (3x - 5)(3x + 5) \]
Now, we can compare our result with the given options. The correct expression equivalent to \( 9x^2 - 25 \) is:
\[ (3x + 5)(3x - 5) \]
So, the correct response is:
(3x+5)(3x−5)