Given the expression:

\[
36v^2 + 24v
\]

we can factor out the greatest common factor (GCF). Here, the GCF of \(36v^2\) and \(24v\) is \(12v\). Let's factor this expression:

\[
36v^2 + 24v = 12v(3v + 2)
\]

So, the factored form of the expression is:

\[
12v(3v + 2)
\]

Would you like further details or have any questions about this process?

Here are 5 related questions to expand your understanding:

1. How do you find the greatest common factor (GCF) of two or more terms?
2. What is the purpose of factoring expressions in algebra?
3. How can you check if your factored expression is correct?
4. Can you factor the expression \(48v^2 + 36v\) using a similar method?
5. How would you factor a quadratic expression like \(36v^2 - 24v + 6\)?

**Tip:** Always look for a common factor before attempting more complicated factoring techniques.

Learn how to factor the expression 36v^2 + 24v by using the greatest common factor (GCF). This algebra problem is suitable for students in Grades 7-8, providing a step-by-step breakdown of the factoring process.

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