Let's break down the expression step by step:

The given expression is:

\[
(4 - 6) \times 2 + 3^2
\]

1. **Solve inside the parentheses**:
   \[
   4 - 6 = -2
   \]

   Now the expression becomes:
   \[
   -2 \times 2 + 3^2
   \]

2. **Exponentiation (handle \(3^2\))**:
   \[
   3^2 = 9
   \]

   So the expression is now:
   \[
   -2 \times 2 + 9
   \]

3. **Multiplication**:
   \[
   -2 \times 2 = -4
   \]

   Now we have:
   \[
   -4 + 9
   \]

4. **Addition**:
   \[
   -4 + 9 = 5
   \]

Thus, the final result is:

\[
\boxed{5}
\]

Would you like more details or have any questions?

Here are 5 questions that might help deepen your understanding:
1. What happens if we change the order of operations?
2. How would the result change if the exponent was different, say \(3^3\)?
3. Why is it important to follow the order of operations (PEMDAS)?
4. What is the result if you change the multiplication to division?
5. How would the result change if the parentheses were around different numbers?

**Tip**: Always handle operations in parentheses first and then follow the order: exponents, multiplication/division, and addition/subtraction.

Learn how to solve the expression (4-6) x 2 + 3^2 by applying the order of operations (PEMDAS). Follow a step-by-step breakdown involving arithmetic concepts like parentheses, exponentiation, and multiplication. This problem is suitable for students in Grades 5-7.

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