The expression \((a - b)(a^2 + ab + b^2)\) is a product of two terms. This expression is a special product known as the difference of cubes. The expression simplifies to:

\[
(a - b)(a^2 + ab + b^2) = a^3 - b^3
\]

This is because \(a^3 - b^3\) can be factored as:

\[
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
\]

So, the expression \((a - b)(a^2 + ab + b^2)\) is equal to \(a^3 - b^3\).

Would you like a detailed explanation of how the difference of cubes works?

Here are 5 related questions:
1. What is the factorization of \(a^3 + b^3\)?
2. How can you factor a difference of squares?
3. Can you expand the expression \(a^3 - b^3\) after factoring?
4. What is the geometric interpretation of the difference of cubes?
5. How can the difference of cubes be used in solving equations?

**Tip:** Recognizing patterns like the difference of cubes can simplify complex algebraic expressions quickly.

Explore the difference of cubes formula (a - b)(a² + ab + b²) with a detailed explanation. Learn how to simplify and factorize this algebraic expression efficiently. Suitable for high school students studying algebra.

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