To solve the given expression:

$\frac{5^2 - 1}{3^2 - 5}$

Let's break it down step-by-step:

1. Calculate $5^2$: $5^2 = 25$

2. Subtract 1 from 25: $25 - 1 = 24$

3. Calculate $3^2$: $3^2 = 9$

4. Subtract 5 from 9: $9 - 5 = 4$

5. Now we have: $\frac{24}{4} = 6$

The final answer is:

$6$

Would you like further details on this process, or do you have any questions?

Here are some related questions to explore:

1. What if we changed $5^2$ to $6^2$ in the numerator?
2. How would the answer change if the denominator was $3^2 - 4$ instead?
3. Can you solve similar expressions where the ex