Let's solve these expressions by following the Order of Operations (PEMDAS/BODMAS):

Expression 1: $6 + 2 \times 3$

1. Multiplication comes before Addition, so calculate $2 \times 3$ first: $2 \times 3 = 6$
2. Substitute back: $6 + 6 = 12$

Answer: $12$

Expression 2: $(4 + 5) \times 2 - 3^2$

1. Solve Parentheses first: $4 + 5 = 9$ So, the expression becomes: $9 \times 2 - 3^2$
2. Next, handle Exponents: $3^2 = 9$ Now the expression is: $9 \times 2 - 9$
3. Perform Multiplication: $9 \times 2 = 18$ The expression becomes: $18 - 9$
4. Finally, perform Subtraction: $18 - 9 = 9$

Answer: $9$

Let me know if you want a more detailed breakdown or have any questions!

Related Questions:

1. How would the answer change in the first expression if the order of operations was ignored?
2. What would happen if we added another operation, like division, in these expressions?
3. Can you create a similar expression using three different operations?
4. How does the placement of parentheses affect the result?
5. What if we used a different exponent in the second expression?

Tip:

Remember, PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) helps determine the order of operations.