
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 fraction to the simplest form:
\[
\frac{\left(3^{12}\right)^2 - \left(3^{10}\right)^2}{\left(3^{11}\right)^2 - \left(3^{9}\right)^2}
\]
A) 1
B) $\frac{9}{4}$
C) 3
D) $\frac{9}{2}$
E) 9

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