The expression you provided is:

\[
x^3 - x^2
\]

To simplify or factor this expression:

1. Factor out the greatest common factor (GCF), which is \( x^2 \):

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

So, the factored form is:

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

Would you like a deeper explanation on factoring, or do you have any specific questions?

Here are 5 related questions to explore further:

1. How do you factor other polynomials?
2. What is the difference between factoring and expanding polynomials?
3. How do you solve equations involving factored forms like \( x^2(x - 1) = 0 \)?
4. What are the applications of factoring in calculus, such as finding critical points?
5. How do you factor higher-degree polynomials?

**Tip:** Always check if there is a common factor before attempting other factoring techniques. This simplifies the process significantly!

Learn how to factor the polynomial x³ - x² by extracting the greatest common factor (GCF). This problem introduces key algebraic concepts such as polynomial factoring and GCF extraction, suitable for students in Grades 8-10.

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