Question

Use the Associative property to group like terms together for the expression 9x+(2x+3)

Answer 1

The Associative Property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product. In this case, we want to group the like terms in the expression \(9x + (2x + 3)\).

We can rewrite the expression by rearranging and grouping the terms:

1. First, we can write it without the parentheses to make it clearer:
\[
9x + 2x + 3
\]

2. Now, we can group the like terms (the terms containing \(x\)):
\[
(9x + 2x) + 3
\]

3. According to the Associative Property, we can group these terms without changing the sum. Now, we can simplify the expression:
\[
11x + 3
\]

So, by using the Associative Property, we grouped the like terms and simplified the expression to \(11x + 3\).