Question

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

Line 1 to Line 2:
Line 2 to Line 3:

Answer 1

To justify the steps between the lines, we can identify the properties used:

Line 1 to Line 2: **Commutative Property of Multiplication**
(This property states that the order in which two numbers are multiplied does not affect the product. Thus, (2 + x)x can be rewritten as x(2 + x).)

Line 2 to Line 3: **Commutative Property of Addition**
(This property states that the order in which two numbers are added does not affect the sum. Hence, (2 + x) can be rewritten as (x + 2).)

So, the justifications are:

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