
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
Calculate: $\left(1\right)x\left(x+6\right)+\left(x-3\right)^{2}$;  
$(2)(3+\frac{n}{m})\div \frac{{9{m^2}-{n^2}}}{m}$.

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