2 + (x + y) = (2 + x) + y is an example of which algebraic property ?

The associative property of addition says that the change in the order of the number does not change the resultant sum.

Answer: 2 + (x + y) = (2 + x) + y is an example of aasociative property of addition.

Let's look into the expression 2 + (x + y) = (2 + x) + y.

Explanation:

The associative property of addition states that a + (b + c) = (a + b) + c

Hence, the change in the order of adding the numbers does not change the result of addition if the numbers are the same.

As per the given expression,

2 + (x + y) = (2 + x) + y where the a = 2, b = x and c = y

Therefore, the sum of these numbers will not change even if they change their position or order is changed.

Thus, 2 + (x + y) = (2 + x) + y is an example of associative property of addition.