Respuesta :
Answer:
1. Commutative Property of Addition
2. Distributive property
Step-by-step explanation:
Given
[tex]Line 1: 4(8+9x)[/tex]
[tex]Line 2: 4(9x+8)[/tex]
[tex]Line 3: 36x+32[/tex]
Required
Justify each step
From Line 1 to 2:
The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];
i.e.
[tex]4(8 + 9x) = 4(9x + 8)[/tex]
This is referred to as Commutative Property of Addition
From Line 2 to 3:
The property here depicts [tex]a(b + c) = a * b + b * c[/tex]
i.e.
[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]
[tex]4(9x + 8) = 36x + 32[/tex]
This is referred to as Distributive property
Answer:
Line 1 to Line 2: Commutative Property of Addition
Line 2 to Line 3: Associative Property of Addition
Step-by-step explanation:
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