The expression \( 20x^2 - 5y^2 \) can be factored using the distributive property (factoring out the greatest common factor). Let's proceed:

\[
20x^2 - 5y^2 = 5(4x^2 - y^2)
\]

Now, we recognize that the expression inside the parentheses, \( 4x^2 - y^2 \), is a difference of squares, which can be factored as:

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

So, the fully factored form is:

\[
20x^2 - 5y^2 = 5(2x + y)(2x - y)
\]

Let me know if you'd like further explanation on factoring!

Here are 5 related questions:
1. How do you factor a perfect square trinomial?
2. What is the difference of squares, and how do you recognize it?
3. How would you factor an expression like \( 9x^2 - 16y^2 \)?
4. Can you use the difference of squares method for cubic terms?
5. How do you factor polynomials with higher degrees?

**Tip**: Always check for the greatest common factor (GCF) first before factoring further.

Learn how to factor the expression 20x^2 - 5y^2 using the distributive property and the difference of squares theorem. This solution covers important algebraic techniques such as factoring out the greatest common factor (GCF) and applying the difference of squares. Suitable for students in Grades 9-11.

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