Question

Which of the following is an example of the Associative Property? (3x2 + 2y) + (4y - 2) = 3x2 + (2y + 4y) - 2 2 - 7x + 3x2 = 3x2 - 7x + 2 x(y + z) = xy + xz 8 + -xy = 8 - xy

Answer 1

The expression (3x2 + 2y) + (4y - 2) = 3x2 + (2y + 4y) - 2 represents the Associative Property, as it shows that changing the grouping of the addends does not affect the sum.

Step-by-step explanation:

The Associative Property in mathematics states that when three or more numbers are added or multiplied, the way in which they are grouped does not change the result. It can be expressed as (A+B)+C = A+(B+C) for addition or (A*B)*C = A*(B*C) for multiplication.

The given options are to determine which one is an example of the Associative Property.

Comparing the options given with the definition of the Associative Property, we find that the expression

(3x2 + 2y) + (4y - 2) = 3x2 + (2y + 4y) - 2 is the correct example of the Associative Property.

This is because the grouping of terms (2y + 4y) does not change the outcome of the expression.