Use the Associative Property to demonstrate that Expression 1 is equivalent to Expression 2.

Expression 1: 22r−13

Expression 2: 19r+(3r−2)−11

1 answer

Expression 1: 22r−13

Expression 2: 19r+(3r−2)−11

To use the associative property, we need to group the terms in Expression 2 differently. Let's regroup the terms inside the parentheses:

Expression 2: 19r+3r−2−11

Now, we can use the associative property to rearrange the terms:

Expression 2: (19r+3r)−2−11

Simplifying the terms inside the parentheses:

Expression 2: 22r−2−11

Combining like terms:

Expression 2: 22r−13

As we can see, both Expression 1 and Expression 2 simplify to 22r−13, demonstrating that they are equivalent.