To use the Distributive Property and factor the expression \(9x^2 - 25\), we recognize that this expression is a difference of squares.
The difference of squares can be factored using the formula: \[ a^2 - b^2 = (a + b)(a - b) \]
In the expression \(9x^2 - 25\):
- \(a^2 = 9x^2\), which gives \(a = 3x\)
- \(b^2 = 25\), which gives \(b = 5\)
Thus, we can factor \(9x^2 - 25\) as follows: \[ 9x^2 - 25 = (3x + 5)(3x - 5) \]
From the provided options, the expression that is equivalent to \(9x^2 - 25\) is: \[ (3x + 5)(3x - 5) \]
So the correct response is: (3x + 5)(3x − 5)