It seems you are working with an expression. Let's rewrite it clearly:

\[
x^3y^2 - xy^2
\]

This expression can be simplified by factoring out the common terms. Both terms have \(xy^2\) in common, so we can factor it out:

\[
xy^2(x^2 - 1)
\]

Notice that \(x^2 - 1\) can be factored further using the difference of squares:

\[
x^2 - 1 = (x - 1)(x + 1)
\]

Thus, the fully factored form of the expression is:

\[
xy^2(x - 1)(x + 1)
\]

Would you like more details on the factoring process, or do you have any other questions?

Here are five related questions to explore further:
1. What is the difference of squares and how is it used in factoring?
2. How can you factor polynomials with higher powers?
3. How do you identify common factors in expressions?
4. What are some advanced factoring techniques in algebra?
5. How does factoring help in solving equations?

**Tip:** Always check for common factors before applying more complex factoring techniques!

Explore how to factor the expression x^3y^2 - xy^2 by identifying common factors and applying the difference of squares technique. This problem helps students in Grades 8-10 master key algebraic skills, including factoring polynomials and simplifying expressions.

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