To find the expression equivalent to \( 9x^2 - 25 \) using the Distributive Property (also known as factoring), we can recognize that \( 9x^2 - 25 \) is a difference of squares. The difference of squares formula states that:
\[ a^2 - b^2 = (a + b)(a - b) \]
In this case, we can identify \( a = 3x \) and \( b = 5 \), since:
\[ (3x)^2 = 9x^2 \] \[ 5^2 = 25 \]
So we can apply the difference of squares formula:
\[ 9x^2 - 25 = (3x)^2 - 5^2 = (3x + 5)(3x - 5) \]
Now looking at the options provided, the expression that is equivalent to \( 9x^2 - 25 \) is:
(3x+5)(3x−5)
So, the correct response is (3x+5)(3x−5).