It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
Responses
A distributivedistributive
B commutativecommutative
C associativeassociative
D identityidentity
To determine which property is being demonstrated in the given equation, we need to simplify the equation and see which property holds true.
Let's simplify the equation step by step:
Starting with 2(3 + x), we can distribute the 2 to both terms inside the parentheses:
2 * 3 + 2 * x
Which simplifies to:
6 + 2x
Now we can compare it to the right side of the equation: 6 + 2x.
We can see that both sides are equal: 6 + 2x = 6 + 2x.
Since both sides of the equation are equal, we can conclude that the equation demonstrates the "identitiy" property.
Therefore, the answer is D) identity.