Question

Which property does each equation demonstrate?

(3z^4 + 2z^3) – (2z^4 + z^3) = z^4 + z^3
A) Distributive Property
B) Commutative Property
C) Associative Property
D) Identity Property

Answer 1

The equation demonstrates the Distributive Property. Hence the correct answer is option A

Step-by-step explanation:

The property demonstrated by the equation (3z^4 + 2z^3) - (2z^4 + z^3) = z^4 + z^3 is the Distributive Property.

The Distributive Property states that when we have a term or expression multiplied by a sum or difference, we can distribute the multiplication to each term within the parentheses.

In the given equation, the subtraction of two polynomials is being carried out, and the Distributive Property is being used to distribute the subtraction operation to each term inside the parentheses.

Hence the correct answer is option A