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)

Verified Answer :

QveenJ

The answer is 3 (4a-2)=(4a-2)•3

Answer:

\(3 \cdot (4a - 2) = (4a - 2) \cdot 3\)

Step-by-step explanation:

Commutative property of multiplciation is

\(a \cdot b = b \cdot a\)

\(3(4a - 2) = 12a - 6\)

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

\(3 \cdot (4a - 2) = (4a - 2) \cdot 3\) is same as \(a \cdot b = b \cdot a\)

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

\(12a - 6 = (4a - 2) \cdot 3\)

GCF 3 is factored out. factoring is applied.

\((3 \cdot 4a) - 2 = 3(4a - 2)\)

Here 3 is not a common factor.