Using the Associative Property, which of the following expressions is equivalent to (4+17v)+4v ?(1 point)

Responses

21v2 +4
21v2 +4

(17v+4)+4v
(17v+4)+4v

4 + (17v + 4v)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine which expression is equivalent to \((4 + 17v) + 4v\) using the Associative Property, we can apply the property, which states that the way numbers are grouped in addition does not change their sum.

Starting with the given expression:

\[
(4 + 17v) + 4v
\]

According to the Associative Property, we can regroup the terms:

\[
4 + (17v + 4v)
\]

This shows how the expression can be rewritten by changing the grouping of the terms.

Now, let's check the options provided:

1. \(21v^2 + 4\)
2. \((17v + 4) + 4v\)
3. \(4 + (17v + 4v)\)

Among these, the expression \(4 + (17v + 4v)\) is a direct result of applying the Associative Property to the original expression.

Thus, the correct answer is:

\[
4 + (17v + 4v)
\]