To use the Distributive Property to factor the expression \(9x^2 - 25\), we can recognize it as a difference of squares. The difference of squares can be factored using the formula:
\[ a^2 - b^2 = (a - b)(a + b) \]
In this case, we can identify:
- \(a^2 = 9x^2\) implies \(a = 3x\)
- \(b^2 = 25\) implies \(b = 5\)
Applying the difference of squares formula:
\[ 9x^2 - 25 = (3x)^2 - 5^2 = (3x - 5)(3x + 5) \]
Thus, the expression \(9x^2 - 25\) is equivalent to \((3x - 5)(3x + 5)\).