
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Simplify the following expression and select the correct answer.

\[
\frac{x^{3}-9 x y^{2}}{9 y^{2}+x^{2}} \cdot\left(\frac{x+3 y}{x^{2}-3 x y}+\frac{x-3 y}{x^{2}+3 x y}\right)
\]

1) 0.5  
2) \(x-3 y\)  
3) 2  
4) \(x+3 y\)

Present the answer in LaTex format: \boxed{Your answer}
user