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To factor the expression \(20x + 8\), we begin by finding the greatest common factor (GCF) of the terms. The GCF of 20 and 8 is 4, so we can factor out 4 from both terms.

Starting with the given expression:
\[
20x + 8 = 4(\_)
\]

Now, divide each term by 4:
- \( \frac{20x}{4} = 5x \)
- \( \frac{8}{4} = 2 \)

Thus, the expression becomes:
\[
20x + 8 = 4(5x + 2)
\]

So, the filled-in factorization is:
\[
20x + 8 = 4(5x + 2)
\]

Let me know if you'd like more details or have any questions!

Here are five related questions to deepen your understanding:
1. What is the greatest common factor (GCF), and how is it used in factorization?
2. How would you factor \( 15x + 9 \) using a similar approach?
3. Can you expand the expression \( 4(5x + 2) \) to verify the factorization?
4. What happens if the common factor is a variable, for example in \( 12x^2 + 8x \)?
5. How would you factor a quadratic expression like \( 6x^2 + 18x \)?

**Tip:** Always look for the greatest common factor first when factoring expressions. It simplifies the factorization process!

Fill in the gaps to factorise this expression: 20x + 8 = 4(__ + __)

Learn how to factor the expression 20x + 8 by using the greatest common factor (GCF). This guide provides step-by-step instructions, focusing on algebraic concepts and the distributive property. Ideal for students in Grades 6-8.

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