Let's break down the given expression step by step:

\[
(2^3 + 5 \times 5 - \frac{12}{6}) + (7^2 \times 4 - 10 + 11)
\]

### First Part: \( (2^3 + 5 \times 5 - \frac{12}{6}) \)
1. \( 2^3 = 8 \)
2. \( 5 \times 5 = 25 \)
3. \( \frac{12}{6} = 2 \)

So, the first part becomes:
\[
8 + 25 - 2 = 31
\]

### Second Part: \( (7^2 \times 4 - 10 + 11) \)
1. \( 7^2 = 49 \)
2. \( 49 \times 4 = 196 \)

So, the second part becomes:
\[
196 - 10 + 11 = 197
\]

### Final Calculation:
Now add the results from both parts:
\[
31 + 197 = 228
\]

Thus, the value of the expression is:
\[
\boxed{228}
\]

Do you have any questions or would you like more details?

Here are 5 related questions:
1. How do exponents affect the order of operations?
2. What is the importance of PEMDAS in evaluating expressions?
3. Can you explain why multiplication and division are performed before addition and subtraction?
4. What happens if parentheses are used differently in this expression?
5. How does changing any of the constants affect the final result?

**Tip:** Always follow the order of operations (PEMDAS) to avoid errors when solving complex expressions.

Step-by-step guide to evaluating the expression (2³+5×5-12÷6)+(7²×4-10+11). This detailed solution covers key concepts like exponents, multiplication, division, and the order of operations (PEMDAS). Suitable for students in Grades 6-8.

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