Questions: Simplify the expression. 3 · 7-6 · 2 3 · 7-6 · 2=

Transcript text: Simplify the expression. \[ \begin{array}{l} 3 \cdot 7-6 \cdot 2 \\ 3 \cdot 7-6 \cdot 2= \end{array} \]

Solution

Solution Steps

To simplify the expression \(3 \cdot 7 - 6 \cdot 2\), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, we perform the multiplications and then the subtraction.

Step 1: Calculate the Multiplications

First, we calculate the two multiplication components of the expression: \[ 3 \cdot 7 = 21 \] \[ 6 \cdot 2 = 12 \]

Step 2: Perform the Subtraction

Next, we subtract the result of the second multiplication from the result of the first: \[ 21 - 12 = 9 \]