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The simplified form of the expression \( \sqrt[3]{3x} + 9\sqrt[3]{3x} - 2\sqrt[3]{3x} \) is:

\[
11\sqrt[3]{3x}
\]

This combines the like terms involving \( \sqrt[3]{3x} \).

Would you like further details or clarifications on this?

Here are five related questions for deeper understanding:
1. How do we combine like terms in expressions with cube roots?
2. Can you solve similar problems involving higher powers of roots?
3. How would you differentiate this expression with respect to \( x \)?
4. How do cube roots behave in equations involving fractional exponents?
5. Can this result be generalized for different coefficients or powers?

**Tip:** When simplifying expressions with roots, always look for common terms that can be factored or combined for easier manipulation.

Simplify the expression: \( \sqrt[3]{3x} + 9\sqrt[3]{3x} - 2\sqrt[3]{3x} \).

Learn how to simplify algebraic expressions involving cube roots. This example demonstrates combining like terms: \( \sqrt[3]{3x} + 9\sqrt[3]{3x} - 2\sqrt[3]{3x} \), leading to the simplified result \( 11\sqrt[3]{3x} \). Suitable for high school students.

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