Question

Use the Associative property to simplify the expression 9x+(2x+3) to its simplest equivalent form

Answer 1

To use the Associative property to simplify the expression \(9x + (2x + 3)\), we can regroup the terms. The Associative property states that the way in which numbers are grouped does not change their sum.

Here's how we can simplify it step by step:

1. **Group the terms**: We can either take the first term \(9x\) and combine it with \(2x\), or we could rearrange it differently. For this case, let's group \(9x\) with \(2x\):

\[
9x + (2x + 3) = (9x + 2x) + 3
\]

2. **Add the terms in the parentheses**: Now, add \(9x\) and \(2x\):

\[
9x + 2x = 11x
\]

3. **Combine with the constant term**: Now we have:

\[
(11x) + 3 = 11x + 3
\]

Thus, the simplified expression is

\[
\boxed{11x + 3}
\]