Let's break this problem down step by step.

The expression to evaluate is:

$10^2 + (3 + 5)^2 - 5$

Step-by-Step Solution:

1. Calculate $10^2$: $10^2 = 100$

2. Calculate $(3 + 5)$: $3 + 5 = 8$

3. Square the result from step 2: $8^2 = 64$

4. Substitute these values into the expression: $100 + 64 - 5$

5. Add $100 + 64$: $100 + 64 = 164$

6. Subtract $5$: $164 - 5 = 159$

Final Answer:

$\boxed{159}$

Would you like further clarification or a different explanation? Here are some follow-up questions to extend your understanding:

1. What happens if you change one of the exponents in this expression?
2. Can you identify how order of operations (PEMDAS) ensures correct calculation here?
3. How would this expression change if parentheses were added differently?
4. What is the importance of squaring numbers in this type of problem?
5. Can you evaluate a similar expression with different values for practice?

Tip: Always evaluate expressions step-by-step and follow the order of operations: parentheses, exponents, multiplication/division, addition/subtraction.