Question

Identify the property that justifies each step asked about in the answer area below. Line 1: , left parenthesis, 3, plus, x, right parenthesis, x Line 1: = (3+x)x Line 2: , x, left parenthesis, 3, plus, x, right parenthesis Line 2: = x(3+x) Line 3: , x, left parenthesis, x, plus, 3, right parenthesis Line 3: = x(x+3) Answer Attempt 1 out of 2 Line 1 to Line 2: Line 2 to Line 3:

Answer 1

To identify the properties that justify each step, we can analyze the operations performed on each line.

**Line 1 to Line 2:**
- Line 1: \((3 + x)x\)
- Line 2: \(x(3 + x)\)

The property used in this step is the **Commutative Property of Multiplication**. This property states that the order of multiplication does not affect the product. Thus, \((3 + x)x\) is equal to \(x(3 + x)\).

**Line 2 to Line 3:**
- Line 2: \(x(3 + x)\)
- Line 3: \(x(x + 3)\)

The property used in this step is the **Commutative Property of Addition**. This property states that the order of addition does not affect the sum. Thus, \(3 + x\) is equal to \(x + 3\).

In summary:
- Line 1 to Line 2: **Commutative Property of Multiplication**
- Line 2 to Line 3: **Commutative Property of Addition**