Question

Enter the missing values in the area model to find 8, left parenthesis, 3, v, minus, 3, right parenthesis8(3v−3)
8
24v
-3
Answer
Attempt 1 out of 2

According to the model above, 8, left parenthesis, 3, v, minus, 3, right parenthesis, equals8(3v−3)=

Answer 1

To find the missing values in the area model for the expression \(8(3v - 3)\), we can first distribute the 8 across the terms inside the parentheses.

1. Distributing 8:
\[
8(3v - 3) = 8 \cdot 3v + 8 \cdot (-3)
\]

2. Calculate each part:
\[
8 \cdot 3v = 24v
\]
\[
8 \cdot (-3) = -24
\]

3. Combine the results:
\[
8(3v - 3) = 24v - 24
\]

So, the completed expression is:
\[
8(3v - 3) = 24v - 24
\]

The missing values in the area model would therefore be:
- The first area (the area corresponding to \(8 \cdot 3v\)) is \(24v\).
- The second area (the area corresponding to \(8 \cdot (-3)\)) is \(-24\).

Thus, the final answer is:
\[
8(3v - 3) = 24v - 24
\]