The equation in the uploaded image is:

$\frac{(19)^2 + (25)^2 + \frac{(242 - 150)^2}{28 - (25 - 2 \times 19)}}{19 \times 25}$

Step-by-step Solution:

1. Square the numbers:

   • $19^2 = 361$
   • $25^2 = 625$

2. Simplify the numerator:

   • Calculate $242 - 150 = 92$, then square it: $92^2 = 8464$.

   • For the denominator inside the fraction, first evaluate $25 - 2 \times 19$: $25 - 2 \times 19 = 25 - 38 = -13.$ Then calculate: $28 - (-13) = 28 + 13 = 41.$ So, the fraction is: $\frac{8464}{41}.$

     Dividing: $\frac{8464}{41} = 206.$

     Therefore, the numerator becomes: $361 + 625 + 206 = 1192.$

3. Simplify the denominator:

   • $19 \times 25 = 475$.

4. Final computation:

   • The overall fraction is: $\frac{1192}{475}.$

     Simplifying this fraction: $\frac{1192}{475} \approx 2.51 \, (\text{rounded to two decimal places}).$

Final Answer:

$\boxed{2.51}$

Would you like a deeper explanation of any of the steps?

Related Questions:

1. How do you simplify fractions with large numbers like $\frac{8464}{41}$?
2. What is the process for handling negative values in denominators?
3. Can this equation be rewritten in a different format for clarity?
4. How do we calculate squares of numbers faster without a calculator?
5. What are some practical applications of such expressions in mathematics?

Tip:

When working with nested fractions, simplify the inner terms first to avoid confusion!