The expression \( 3x \cdot 3x \) can be simplified as follows:

\[
3x \cdot 3x = (3 \cdot 3) \cdot (x \cdot x) = 9x^2
\]

So, the simplified result is \( 9x^2 \).

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How would you simplify \( (2x) \cdot (4x) \)?
2. What is the result of \( 3x \cdot 3x \cdot 3x \)?
3. How do you simplify \( (5x^2) \cdot (3x^3) \)?
4. Can you factor \( 9x^2 - 25 \)?
5. What is the derivative of \( 9x^2 \) with respect to \( x \)?

**Tip:** When multiplying terms with the same base, you add their exponents (e.g., \( x^a \cdot x^b = x^{a+b} \)).

Learn how to simplify the algebraic expression 3x * 3x using the laws of exponents and basic multiplication rules. This problem focuses on algebraic concepts involving terms with the same base and is suitable for students in Grades 6-8.

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