https://file.aiquickdraw.com/mathbot/file/1725372564632sj5cety4.png

The expression shown in the image is:

\[
5 + 3(4 + 2)^2
\]

Let's solve this step-by-step following the order of operations (PEMDAS/BODMAS):

1. **Parentheses**: First, solve the expression inside the parentheses.

\[
4 + 2 = 6
\]

2. **Exponents**: Next, apply the exponent.

\[
6^2 = 36
\]

3. **Multiplication**: Then, perform the multiplication.

\[
3 \times 36 = 108
\]

4. **Addition**: Finally, add the remaining numbers.

\[
5 + 108 = 113
\]

So, the result of the expression \(5 + 3(4 + 2)^2\) is **113**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How does the order of operations affect the result of mathematical expressions?
2. What would the result be if the expression had a different exponent, such as \(5 + 3(4 + 2)^3\)?
3. How would the result change if there were additional parentheses, like \(5 + (3(4 + 2))^2\)?
4. What are some common mistakes people make when solving expressions with exponents and parentheses?
5. Can you solve expressions involving both negative and positive numbers using the order of operations?

**Tip**: Always follow the order of operations to avoid mistakes in complex mathematical expressions!

What is the result of the mathematical expression 5 + 3(4 + 2)^2?

Learn how to solve the expression 5 + 3(4 + 2)^2 step-by-step following the order of operations (PEMDAS/BODMAS). This problem involves calculating exponents and using parentheses, making it suitable for students in Grades 6-8.

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