Enter the missing values in the area model to find minus, 5, left parenthesis, 8, s, minus, 6, right parenthesis−5(8s−6)
-5
8s
-6
Answer
Attempt 1 out of 2

According to the model above, minus, 5, left parenthesis, 8, s, minus, 6, right parenthesis, equals−5(8s−6)= 


To find the result of \(-5(8s - 6)\), we can use the distributive property, which states that \(a(b - c) = ab - ac\).

In this case:

\[
-5(8s - 6) = -5 \cdot 8s + (-5) \cdot (-6)
\]

Now, let's calculate each part:

1. \(-5 \cdot 8s = -40s\)
2. \(-5 \cdot (-6) = 30\)

So, the expression becomes:

\[
-40s + 30
\]

Thus, \(-5(8s - 6) = -40s + 30\).

Would you like a detailed explanation of the distributive property, or have any further questions?

Here are 5 related questions to deepen your understanding:
1. How does the distributive property work with multiplication and addition?
2. What is the result of \(-5(7s - 4)\)?
3. Can the distributive property be applied to expressions with more than two terms?
4. What happens if both the number outside and the terms inside the parentheses are negative?
5. How would you factor out \(-5\) from the expression \(-40s + 30\)?

**Tip:** Always distribute the negative sign carefully, especially when working with subtraction inside parentheses.

Enter the missing values in the area model to find -5(8s - 6).

Learn how to apply the distributive property to solve the expression -5(8s - 6). This problem breaks down the process of distributing -5 to both terms inside the parentheses, resulting in the simplified expression -40s + 30. Ideal for students in Grades 7-9 studying algebra and linear expressions.

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