It is given that 2(3 + ×) = 6 + 2x. This is an example of the _ property.
A. associative
B. commutative
C. distributive
D. identity
C. distributive
This equation is an example of the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. In this equation, we have 2(3 + x) on the left side, which can be expanded using the distributive property as 6 + 2x. Therefore, the answer is C. distributive.
To determine which property is being represented in the given equation, let's first simplify the equation:
2(3 + ×) = 6 + 2x
Now, apply the distributive property:
6 + 2× = 6 + 2x
Since the left side (6 + 2×) of the equation is equal to the right side (6 + 2x) after simplification, we can conclude that the given equation represents the distributive property.
Therefore, the correct answer is C. distributive.