If you factories 8x+24 wich will give you the answer as 8(x+3) could you also have 2(4x+12)

Yes, you can also factor \(8x + 24\) as \(2(4x + 12)\). Here's why:

1. **Original expression**: \(8x + 24\)

2. **Common factor**: The greatest common factor (GCF) of 8 and 24 is 8, so you can factor out 8:  
   \[
   8x + 24 = 8(x + 3)
   \]

3. **Alternative factorization**: You can also factor out a smaller common factor, such as 2. If you factor out 2 from each term, you get:
   \[
   8x + 24 = 2(4x + 12)
   \]

Both factorizations are valid, but the first one, \(8(x + 3)\), is more simplified since it uses the greatest common factor.

Would you like more details or have any questions? 

Here are some related questions you might find useful:

1. What is the greatest common factor, and how do you find it?
2. How do you determine which common factor to factor out?
3. Can you factor an expression in multiple ways, and how do you choose the simplest form?
4. How does factoring relate to simplifying expressions?
5. What happens if you factor out a negative number instead?

**Tip**: Always check for the greatest common factor when factoring an expression to simplify it as much as possible.

Learn how to factor expressions like 8x + 24 and 2(4x + 12) with detailed explanations and examples. Discover the concept of common factors and different ways to simplify algebraic expressions. Suitable for students in Grades 7-9.

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