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

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

The Associative Property states that the way in which numbers are grouped in addition (or multiplication) does not affect the sum (or product). This means that for addition, \( (a + b) + c = a + (b + c) \).

For the expression \( (4 + 17v) + 4v \), we can apply the Associative Property as follows:

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

Now we can simplify \( 17v + 4v \):

\[
17v + 4v = 21v
\]

Therefore, we can rewrite the expression:

\[
4 + (17v + 4v) = 4 + 21v
\]

Thus, the expression \( (4 + 17v) + 4v \) is equivalent to \( 4 + 21v \).

So the final answer is:

**4 + 21v**