To solve the expression $4^2 + 3 \times (6 - 2)$, we will use the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

1. Parentheses: First, solve the expression inside the parentheses: $6 - 2 = 4$

2. Exponents: Next, calculate the exponent: $4^2 = 16$

3. Multiplication: Then, perform the multiplication: $3 \times 4 = 12$

4. Addition: Finally, add the results: $16 + 12 = 28$

Therefore, the value of the expression $4^2 + 3 \times (6 - 2)$ is $28$.

Would you like more details or have any questions?

Here are some related questions to consider:

1. What if the expression was $4^2 + 3 \times (6 - 3)$?
2. How would the result change if the exponent was $4^3$ instead of $4^2$?
3. How does adding more operations affect the complexity of solving such expressions?
4. What happens if there are nested parentheses, like $4^2 + 3 \times (6 - (2 + 1))$?
5. How would the expression change if the multiplication was replaced with division, such as $4^2 + 3 \div (6 - 2)$?

Tip: Always remember to perform multiplication and division before addition and subtraction, unless parentheses indicate otherwise!