Let's solve the expression step by step.

The expression is:  
\[
\left[\frac{4(12 - 6)}{2}\right]^2
\]

1. **Simplify the expression inside the parentheses:**

   \[
   12 - 6 = 6
   \]

2. **Multiply by 4:**

   \[
   4 \times 6 = 24
   \]

3. **Divide by 2:**

   \[
   \frac{24}{2} = 12
   \]

4. **Square the result:**

   \[
   12^2 = 144
   \]

So, the final result is \( 144 \).

Would you like more details or have any questions? Here are five related questions you might find interesting:

1. What is the order of operations used in evaluating expressions like this one?
2. How do you handle expressions with multiple sets of parentheses?
3. What is the square of a negative number?
4. Can you simplify expressions with variables in a similar way?
5. How would the expression change if it had a different exponent?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) to get the correct result.

Learn how to solve the expression (4(12-6)/2)^2 with a detailed step-by-step solution. This problem covers order of operations, basic arithmetic operations, and exponents. Suitable for students in Grades 5-8.

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