Question
O Real Numbers Distributive property. Integer coefficients Use the distributive property to remove the parentheses. \[ (-2+4 w+4 y)(-5) \]
Ask by Chandler Rodriguez. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
10 - 20w - 20y
\]
Solution
To remove the parentheses using the **distributive property**, you multiply each term inside the parentheses by \(-5\).
Starting with the expression:
\[
(-2 + 4w + 4y)(-5)
\]
Apply the distributive property:
\[
(-2) \times (-5) + (4w) \times (-5) + (4y) \times (-5)
\]
Calculate each multiplication:
\[
10 - 20w - 20y
\]
**Final Answer:**
\[
10 - 20w - 20y
\]
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Beyond the Answer
First, we apply the distributive property, which states that a(b + c) = ab + ac. Here, we’ll distribute \(-5\) to each term inside the parentheses: \[ (-2)(-5) + (4w)(-5) + (4y)(-5) = 10 - 20w - 20y. \] So, by removing the parentheses, the expression simplifies to: \[ 10 - 20w - 20y. \] Now, if you need to factor this expression back or figure out its graph, it’s important to remember that this expression represents a plane in three-dimensional space if you treat \(w\) and \(y\) as variables.
