The expression you provided is:

\[
\frac{3}{9}x^2 - \frac{2}{3}x^3
\]

Let's simplify it step by step:

1. Simplify the first term: \(\frac{3}{9}x^2\).
   - \(\frac{3}{9}\) simplifies to \(\frac{1}{3}\), so the first term becomes \(\frac{1}{3}x^2\).

2. The second term remains \(\frac{2}{3}x^3\).

Thus, the simplified expression is:

\[
\frac{1}{3}x^2 - \frac{2}{3}x^3
\]

If you want, you could factor out \(\frac{1}{3}x^2\) as a common factor:

\[
\frac{1}{3}x^2(1 - 2x)
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you factor expressions like \(\frac{1}{3}x^2 - \frac{2}{3}x^3\)?
2. What are the steps to factor quadratic and cubic polynomials?
3. How do you simplify fractions involving algebraic terms?
4. Can you solve equations involving similar terms like \(\frac{1}{3}x^2 - \frac{2}{3}x^3\)?
5. What is the difference between factoring and expanding algebraic expressions?

**Tip:** Always look for common factors when simplifying expressions.

Simplify the algebraic expression 3/9x^2 - 2/3x^3 step-by-step, and learn how to factor out common terms. This solution explores key concepts in simplification and factoring, suitable for students in Grades 8-10.

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