To solve the expression $(3 + 7)^2 + 9$, let's break it down step by step:

1. First, evaluate inside the parentheses: $3 + 7 = 10$

2. Next, square the result: $10^2 = 100$

3. Finally, add 9 to the squared result: $100 + 9 = 109$

Thus, the value of $(3 + 7)^2 + 9$ is 109.

Would you like further clarification on any of these steps?

Here are some related questions you might find helpful:

1. What happens if you change the numbers in the parentheses?
2. How do you handle powers of negative numbers in similar problems?
3. How would the process change with a cube instead of a square?
4. What if you needed to subtract instead of add in the parentheses?
5. How can this expression be generalized for variables?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) when solving complex expressions.