Question
Distributive property: Integer coefficients Use the distributive property to remove the parentheses. \( (-4+3 v+2 y)(-8) \) \( \square \)
Ask by Park Watson. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
32 - 24v - 16y
\]
Solution
To remove the parentheses using the distributive property, multiply each term inside the parentheses by \(-8\):
\[
(-4 + 3v + 2y)(-8) = (-4) \times (-8) + (3v) \times (-8) + (2y) \times (-8)
\]
Now, perform the multiplication for each term:
\[
32 - 24v - 16y
\]
**Final Answer:**
\[
32 - 24v - 16y
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To apply the distributive property and remove the parentheses, we multiply each term inside the parentheses by \(-8\). So, we calculate: \(-4 \times -8 = 32\) Next, for the \(3v\) term: \(3v \times -8 = -24v\) Now for the \(2y\) term: \(2y \times -8 = -16y\) Putting it all together, we get: \(32 - 24v - 16y\) So, the expression simplifies to: \(\boxed{32 - 24v - 16y}\)
