The given expression is:

\[
x^2 - x^5y^2
\]

### Factoring the expression:

We can factor out the common factor of \(x^2\) from both terms:

\[
x^2(1 - x^3y^2)
\]

So, the factored form of the expression is:

\[
x^2(1 - x^3y^2)
\]

Let me know if you'd like further details or if you have any questions.

Here are five questions to expand your understanding:

1. How do you factor more complex polynomials with higher degrees?
2. What is the difference between factored form and expanded form of polynomials?
3. How does factoring help in solving polynomial equations?
4. What are the different methods of factoring polynomials?
5. How does the presence of multiple variables affect factoring?

**Tip:** Always look for the greatest common factor (GCF) when factoring polynomial expressions—it simplifies the process!

Learn how to factor the polynomial expression x^2 - x^5y^2. This problem demonstrates key algebraic concepts such as factoring, polynomials, and finding the greatest common factor (GCF). Ideal for students in Grades 9-12.

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