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!