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The image contains an expression written as \( x^3 - y^3 \).

This is a common algebraic expression that can be factored using the difference of cubes formula:

\[
x^3 - y^3 = (x - y)(x^2 + xy + y^2)
\]

Would you like more details about this factoring process, or do you have any specific questions about it?

Here are 5 related questions for further exploration:
1. How is the difference of cubes formula derived?
2. What is the sum of cubes formula, and how does it differ from the difference of cubes?
3. Can the expression \( x^3 - y^3 \) be solved for specific values of \( x \) and \( y \)?
4. How does the difference of cubes formula apply to higher powers, like \( x^6 - y^6 \)?
5. What are the applications of factoring differences of cubes in real-world problems?

**Tip**: Whenever factoring a polynomial, look for common patterns like the difference of squares or cubes to simplify expressions.

Simplify the algebraic expression x^3 - y^3.

Learn how to factor the polynomial expression x^3 - y^3 using the difference of cubes formula. This topic covers algebraic concepts and polynomial factorization, suitable for students in Grades 9-12.

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