Question

Identify the property that justifies each step asked about in the answer area below.
Line 1: , left parenthesis, 6, plus, x, right parenthesis, x
Line 1: =
(6+x)x
Line 2: , x, left parenthesis, 6, plus, x, right parenthesis
Line 2: =
x(6+x)
Line 3: , x, left parenthesis, x, plus, 6, right parenthesis
Line 3: =
x(x+6)
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 transitions between the lines:

1. **Line 1 to Line 2:**
- Justification: **Commutative Property of Multiplication**
- Explanation: This property allows us to rearrange the factors in a multiplication expression. Specifically, (6 + x)x is rearranged to x(6 + x).

2. **Line 2 to Line 3:**
- Justification: **Commutative Property of Addition**
- Explanation: This property allows us to change the order of the terms in an addition expression. In this case, (6 + x) was rewritten as (x + 6).

Thus, the answers are as follows:

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