\[\frac{25 \cdot 15^{n}}{3^{n - 2} \cdot 5^{n + 2}} = \frac{5^{2} \cdot 3^{n} \cdot 5^{n}}{\frac{3^{n}}{3^{2}} \cdot 5^{n} \cdot 5^{2}} = \frac{1}{\frac{1}{3^{2}}} = 3^{2} = 9.\]