https://file.aiquickdraw.com/mathbot/file/1729087557662kd7j5erc.jpg

The problem shown in the image asks to use the distributive property to remove the parentheses in the expression \( 4(v + 12) \).

### Applying the Distributive Property:
The distributive property states that \( a(b + c) = ab + ac \). Here, you have:
\[
4(v + 12) = 4 \cdot v + 4 \cdot 12
\]
Now, simplify:
\[
4 \cdot v = 4v \quad \text{and} \quad 4 \cdot 12 = 48
\]
Thus, the expression becomes:
\[
4v + 48
\]

This is the final simplified expression after using the distributive property.

Would you like a detailed explanation of the distributive property or further clarifications?

Here are 5 related questions to expand your understanding:
1. How would you apply the distributive property to \( 3(2x - 5) \)?
2. What happens if the signs inside the parentheses are different, like in \( 5(2 - y) \)?
3. How can the distributive property help in factoring expressions?
4. Is the distributive property applicable when there are more than two terms inside the parentheses?
5. How can the distributive property be used to simplify algebraic expressions in equations?

### Tip:
Always distribute to each term inside the parentheses individually before combining like terms.

Use the distributive property to remove the parentheses in the expression 4(v + 12).

Learn how to apply the distributive property to simplify the algebraic expression 4(v + 12). This solution breaks down the steps and explains the use of the distributive property theorem. Ideal for students in Grades 6-8.

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