To solve the expression \(3 \times 4 - 5 \times 2^2\), we'll follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Calculate the exponent**:
   \[
   2^2 = 4
   \]

2. **Perform the multiplications**:
   \[
   3 \times 4 = 12
   \]
   \[
   5 \times 4 = 20
   \]

3. **Subtraction**:
   \[
   12 - 20 = -8
   \]

So, the result of the expression \(3 \times 4 - 5 \times 2^2\) is \(-8\).

Would you like more details or have any questions? 

Here are 5 related questions you might find interesting:
1. How do you solve expressions with parentheses?
2. What happens if you change the order of operations?
3. How do you handle more complex exponents in expressions?
4. What are some common mistakes in applying the order of operations?
5. How do you simplify expressions with both negative and positive numbers?

**Tip:** Always remember the order of operations to avoid mistakes in solving math problems!

Learn how to solve the expression 3 times 4 minus 5 times 2 squared using the Order of Operations (PEMDAS). This problem covers key mathematical concepts such as exponents, multiplication, and subtraction, suitable for Grades 5-8.

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