Question

Use the order of operations to simplify the following expression: 12−8÷4+[(6+2)−3]2 x 3

Correct Answer: 1 point

Show Work: 1 point

(2 points)

Answer 1

To simplify the expression \( 12 - 8 \div 4 + [(6 + 2) - 3] \cdot 2 \cdot 3 \), we will use the order of operations: parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right).

Let's break it down step by step.

1. **Calculate inside the parentheses**:
\[ 6 + 2 = 8 \]
So, we now have:
\[ 12 - 8 \div 4 + [8 - 3] \cdot 2 \cdot 3 \]

2. **Continue solving inside the brackets**:
\[ 8 - 3 = 5 \]
Now the expression looks like:
\[ 12 - 8 \div 4 + 5 \cdot 2 \cdot 3 \]

3. **Perform division**:
\[ 8 \div 4 = 2 \]
Updating the expression gives us:
\[ 12 - 2 + 5 \cdot 2 \cdot 3 \]

4. **Perform multiplication**:
\[ 5 \cdot 2 = 10 \]
Continuing, we multiply:
\[ 10 \cdot 3 = 30 \]
Now, the expression simplifies to:
\[ 12 - 2 + 30 \]

5. **Perform addition and subtraction from left to right**:
First, we do the subtraction:
\[ 12 - 2 = 10 \]
Then, we add:
\[ 10 + 30 = 40 \]

Thus, the simplified result of the expression is:
\[
\boxed{40}
\]

### Show Work Summary:
1. Inside parentheses: \( (6 + 2) - 3 \) → \( 8 - 3 = 5 \)
2. Division: \( 8 \div 4 = 2 \)
3. Multiplication: \( 5 \cdot 2 = 10\), then \( 10 \cdot 3 = 30 \)
4. Overall expression: \( 12 - 2 + 30 = 40 \)

Answer 2

shorter please :3