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The given expression simplifies to zero:

\[
(x - 1)^3 + (x + 1)^3 - 2x \left[ (x + 1)(x - 1) + 4 \right] = 0
\]

This means that the expression completely reduces to 0.

Would you like further details or clarifications? Here are some related questions:

1. How does expanding and simplifying expressions work?
2. Why does this particular expression reduce to zero?
3. What does it mean for an expression to simplify to zero?
4. Can this method be applied to other algebraic identities?
5. How would this result be affected if we modified some terms?

**Tip:** When simplifying complex algebraic expressions, identifying common patterns like identities (e.g., difference of squares) can help in quicker reduction.

Reduzca la siguiente expresión: (x - 1)^3 + (x + 1)^3 - 2x[(x + 1)(x - 1) + 4]

Learn how to simplify the algebraic expression (x - 1)^3 + (x + 1)^3 - 2x[(x + 1)(x - 1) + 4] using polynomial expansion and the difference of squares. This problem involves key algebraic concepts such as cubic expansion and simplification techniques. Suitable for high school students (Grades 10-12).

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