Goldenbeast
contestada

Which of the following demonstrates the Commutative Property of Multiplication?

3(4a − 2) = 12a − 6
3(4a − 2) = (4a − 2) ⋅ 3
12a − 6 = (4a − 2) ⋅ 3
(3 ⋅ 4a) − 2 = 3(4a − 2)

Respuesta :

QveenJ
The answer is 3 (4a-2)=(4a-2)•3

Answer:

[tex]3 \cdot (4a - 2) = (4a - 2) \cdot 3[/tex]

Step-by-step explanation:

Commutative property of multiplciation is

[tex]a \cdot b = b \cdot a[/tex]

[tex]3(4a - 2) = 12a - 6[/tex]

Here 3 is multiplied inside the parenthesis. Distributive property is applied.

[tex]3 \cdot (4a - 2) = (4a - 2) \cdot 3[/tex] is same as [tex]a \cdot b = b \cdot a[/tex]

Here, the terms 3 and 4a-2 are interchanged. So this equation demonstrates the commutative property of multiplication.

[tex]12a - 6 = (4a - 2) \cdot 3[/tex]

GCF 3 is factored out. factoring is applied.

[tex](3 \cdot 4a) - 2 = 3(4a - 2)[/tex]

Here 3 is not a common factor.

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas