What does the Distributive Property state?

The Distributive Property states that when you have a term multiplied by a sum, you can distribute the multiplication across the added terms. This can be expressed mathematically as a(b + c) = ab + ac. In this equation, "a" is multiplied by both "b" and "c," resulting in the two products "ab" and "ac" being added together. This property is fundamental in algebra as it allows for the simplification of expressions and the solving of equations.

The other options presented do not accurately represent the Distributive Property. For instance, one option simplifies an equation without involving distribution. Another option incorrectly states a relationship between multiplication and addition that doesn't hold true in general. The remaining option represents a specific algebraic manipulation but does not illustrate the key concept of distribution. Understanding the Distributive Property is crucial for tackling more complex algebraic expressions and equations effectively.