The given expression is \( x(x^2 - 1) \).

This can be simplified by distributing the \( x \) to both terms inside the parentheses:

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

Thus, the simplified form of the expression is:

\[
x^3 - x
\]

Would you like more details or have any further questions?

Here are 5 related questions you can explore:
1. How do you factor \( x^3 - x \)?
2. What are the roots of \( x^3 - x = 0 \)?
3. How does this expression relate to the difference of squares?
4. What would the derivative of \( x^3 - x \) be?
5. How does the expression change when evaluated at specific values of \( x \)?

**Tip**: When simplifying expressions, always check for common factoring opportunities, especially for terms like \( x^2 - 1 \), which is a difference of squares.

Learn how to simplify the polynomial expression x(x^2 - 1) step-by-step. This example covers key algebraic concepts such as polynomial multiplication and factoring using the difference of squares. Suitable for students in Grades 8-10.

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