Question

Enter the missing values in the area model to find 9, left parenthesis, 4, z, minus, 4, right parenthesis9(4z−4)
9
36z
-4
Answer
Attempt 1 out of 2

According to the model above, 9, left parenthesis, 4, z, minus, 4, right parenthesis, equals9(4z−4)=

Answer 1

To solve for the expression \( 9(4z - 4) \) using an area model, we can distribute \( 9 \) to each term in the parentheses.

Let's calculate it step-by-step:

1. **Distribute \( 9 \)**:
\[
9(4z - 4) = 9 \cdot 4z + 9 \cdot (-4)
\]

2. **Calculate each term**:
- \( 9 \cdot 4z = 36z \)
- \( 9 \cdot (-4) = -36 \)

3. **Combine the results**:
Therefore, the expression becomes:
\[
36z - 36
\]

So, the final result for \( 9(4z - 4) \) is:
\[
36z - 36
\]