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

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