Question
\( =1 \quad=2 \quad=4 \quad=5 \) Use the distributive property to remove the parentheses. \[ (v+2) 3 \] \( \square \)
Ask by Lewis Hobbs. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(3v + 6\)
Solution
1. We start with the expression:
\[
(v+2)3
\]
2. Apply the distributive property, which means multiplying \(3\) by each term inside the parentheses:
\[
3 \cdot v + 3 \cdot 2
\]
3. Carry out the multiplication:
\[
3v + 6
\]
The expression without parentheses is:
\[
3v+6
\]
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The Deep Dive
To remove the parentheses using the distributive property, you simply multiply each term inside the parentheses by the number outside. So, for \((v + 2) \cdot 3\), you would do the following: \( = v \cdot 3 + 2 \cdot 3 \) This simplifies to: \( = 3v + 6 \)