https://file.aiquickdraw.com/mathbot/file/17268140104437udvqxri.jpg

The image shows the expression:

\[
5x^2 + 10xy - 20y
\]

with the note that the greatest common factor (GCF) is \( 5 \).

To factor this expression using the GCF:

1. Identify the GCF of the terms, which is \( 5 \), as noted in the image.
2. Factor out \( 5 \) from each term:

\[
5(x^2 + 2xy - 4y)
\]

So, the factored form is:

\[
5(x^2 + 2xy - 4y)
\]

Would you like more details on factoring or any further explanations?

Here are 5 questions to expand your understanding:
1. What is the importance of identifying the GCF in factoring polynomials?
2. How would you factor a trinomial that doesn't have a common factor?
3. Can this expression be factored further, like into binomials?
4. What happens if you don't factor out the GCF in an equation?
5. How would you use factoring to solve a quadratic equation?

**Tip:** Always check if a common factor exists before attempting to factor a polynomial further.

Learn how to factor the algebraic expression 5x^2 + 10xy - 20y by identifying and using the greatest common factor (GCF). This step-by-step guide demonstrates the factoring process and provides explanations on core algebraic concepts.

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