Question

Which property does each equation demonstrate?

x² + 2x=2x+x²
(3z²ª + 2z²³) — (27²¹
(3z4
+ 2z³) - (24+ z³) = z²+z³
+2³) = 1
(2x² + 7x) + (2y² + 6y) = (2y² + 6y) + (2x² + 7x)

Answer 1

The property demonstrated in each equation is the commutative property of addition.

Step-by-step explanation:

The property that each equation demonstrates is the commutative property of addition.

This property states that the order in which two numbers are added does not affect the sum. In other words, a + b = b + a. This property is represented in all of the given equations:

1. x² + 2x = 2x + x²
2. (3z²ª + 2z²³) — (27²¹ + 2³) = (27²¹ + 2³) — (3z²ª + 2z²³)
3. (3z4+ 2z³) - (24+ z³) = z² + z³ + 2³) = 1
4. (2x² + 7x) + (2y² + 6y) = (2y² + 6y) + (2x² + 7x)

Learn more about Commutative property of addition