It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property. A) associative B) commutative C) distributive D) identity help
Keywords:
Expression, simplified, property, distributive
For this case we have an expression of the form \(2 (3 + x)\) that was simplified to the expression \(6 + 2x\). They ask us to indicate which property was used to simplify the expression.
We have that, by definition, the distributive property states that:
\(a (b + c) = ab + ac\)
So:
\(2 (3 + x) = 2 * 3 + 2 * x = 6 + 2x\) is an example of the distributive property.
Answer:
This is an example of the property distributive
Option C