https://file.aiquickdraw.com/mathbot/file/1727377208027g416k0md.jpg

The problem presented in the image is:

\[
3 \times (1 + 2^2)^2
\]

Let's break it down step by step:

1. **Evaluate the exponentiation inside the parentheses**:
   \[
   2^2 = 4
   \]
   
   Now the expression becomes:
   \[
   3 \times (1 + 4)^2
   \]

2. **Simplify the addition inside the parentheses**:
   \[
   1 + 4 = 5
   \]
   
   So now the expression becomes:
   \[
   3 \times 5^2
   \]

3. **Evaluate the exponent**:
   \[
   5^2 = 25
   \]

4. **Multiply**:
   \[
   3 \times 25 = 75
   \]

Thus, the final answer is:

\[
\boxed{75}
\]

Would you like more details or have any questions?

Here are 5 related questions to practice:
1. Simplify \( 4 \times (2 + 3^2)^2 \).
2. Calculate \( 5 \times (1 + 3^2) \).
3. Solve \( 2 \times (1 + 2^3) \).
4. What is \( 6 \times (2 + 1^3)^2 \)?
5. Work out \( 7 \times (3 + 2^2) \).

**Tip:** Always remember to solve exponents and parentheses first before doing any multiplications!

Learn how to solve the expression 3 × (1 + 2^2)^2 step-by-step by following the order of operations (BIDMAS/PEMDAS). This problem involves exponents, arithmetic operations, and simplifying within parentheses. Suitable for students in Grades 6-8.

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