Question
Use the distributive property to write an equivalent expression. \[ 3(6 v+10 w-1) \]
Ask by Watson Stewart. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Multiply 3 by each term inside the parentheses to get \(18v + 30w - 3\).
Solution
To apply the **distributive property** to the expression \( 3(6v + 10w - 1) \), you multiply the number outside the parentheses (which is 3) by each term inside the parentheses individually.
Here's how it's done step-by-step:
\[
3(6v) + 3(10w) + 3(-1) = 18v + 30w - 3
\]
**Final Answer:**
\[
18v + 30w - 3
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To apply the distributive property, you multiply each term inside the parentheses by the factor outside. So, for your expression \( 3(6v + 10w - 1) \), you get: \[ 3 \cdot 6v + 3 \cdot 10w + 3 \cdot (-1) \] This simplifies to: \[ 18v + 30w - 3 \] And voila! That's your equivalent expression using the distributive property! Now, remember that the distributive property is like a magical tool that helps you break things down and expand your equations. Whenever you're faced with something in parentheses, just remember to spread that factor out to every term inside like it's sharing a delicious pizza!
