Which property is used in the expression 6(3 + 5) = (6 x 3) + (6 x 5)?

The expression 6(3 + 5) = (6 x 3) + (6 x 5) demonstrates the Distributive Property. This property states that when you multiply a number by a sum, you can distribute the multiplication to each addend within the parentheses. Here, 6 is multiplied by the entire sum of (3 + 5), which is then expressed as the sum of two separate products: (6 x 3) and (6 x 5). The equality shows that both sides of the equation yield the same result, reaffirming the validity of the Distributive Property in simplifying expressions involving multiplication and addition.

In contrast, the Commutative Property deals with the rearrangement of terms in addition or multiplication without changing the result, while the Associative Property refers to how numbers are grouped in addition or multiplication. The Inverse Property concerns operations that yield an identity element, such as addition or multiplication leading to zero or one respectively. None of these other properties apply to this expression as they focus on different relationships between numbers.