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The expression provided is \( 6y^2 - 15xy \).

To factor this expression, we look for the greatest common factor (GCF) in the terms:

1. **Identify the GCF**: The GCF of \( 6y^2 \) and \( -15xy \) is \( 3y \).

2. **Factor out the GCF**: 
   \[
   6y^2 - 15xy = 3y(2y - 5x)
   \]

So, the factored form of the expression \( 6y^2 - 15xy \) is \( 3y(2y - 5x) \).

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you determine the greatest common factor of two terms?
2. Can this expression be factored further?
3. How does factoring help in solving equations?
4. What is the next step if you were to solve \( 6y^2 - 15xy = 0 \)?
5. How does factoring relate to the distributive property?

**Tip:** When factoring, always start by finding the greatest common factor (GCF) as it simplifies the process.

Learn how to factor the algebraic expression 6y^2 - 15xy by identifying the greatest common factor (GCF). This problem covers key algebraic concepts and is suitable for students in Grades 8-10.

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