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\( =1 \quad=2 \quad=4 \quad=5 \) Use the distributive property to remove the parentheses. \[ (v+2) 3 \] \( \square \)

Ask by Lewis Hobbs. in the United States
Mar 09,2025

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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: \( = 3v + 6 \)

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