Question

Name the property of operation: 3(ab + z) = (ab + z)3.

a) Associative Property
b) Commutative Property
c) Distributive Property
d) Identity Property

Answer 1

The property of operation demonstrated in the equation 3(ab + z) = (ab + z)3 is the commutative property. The commutative property states that the order of the numbers being added or multiplied does not affect the result.

Step-by-step explanation:

The property of operation demonstrated in the equation 3(ab + z) = (ab + z)3 is the commutative property.

The commutative property states that the order of the numbers being added or multiplied does not affect the result. In this case, the equation shows that multiplying 3 by the expression (ab + z) is the same as multiplying (ab + z) by 3.

For example, if a = 2, b = 4, and z = 6, the equation becomes: 3(2 * 4 + 6) = (2 * 4 + 6) * 3. Evaluating both sides of the equation yields the same result: 54 on both sides.