Use the associative property to demonstrate that expression one is equivalent expression too expression 125r - 15 expression 2 20R +( 5r - 3 )- 12

Answer 1

To demonstrate that the two expressions are equivalent using the associative property, let's first write down both expressions clearly:

1. Expression 1: \( 125r - 15 \)
2. Expression 2: \( 20r + (5r - 3) - 12 \)

Now, let's simplify Expression 2 step by step:

Step 1: Start with Expression 2: \[ 20r + (5r - 3) - 12 \]

Step 2: Apply the associative property. We can rearrange the terms inside the parentheses: \[ 20r + 5r - 3 - 12 \]

Step 3: Combine like terms:

• Combine \( 20r \) and \( 5r \): \[ (20r + 5r) - 3 - 12 = 25r - 3 - 12 \]

Step 4: Now combine -3 and -12: \[ 25r - 15 \]

So, we have simplified Expression 2 to: \[ 25r - 15 \]

Now we can compare both expressions:

• Expression 1: \( 125r - 15 \)
• Expression 2: \( 25r - 15 \)

Since the two expressions aren't equal as they have different coefficients for \( r \), \( 125r - 15 \neq 25r - 15 \).

It seems there is an error in your interpretation, as the expressions given are not equivalent. If you meant to have different expressions or if there is a misunderstanding, please clarify the original expressions.