
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
Evaluate the fraction $\frac{a^2+4b^2-9c^2+4ab}{a^2+9c^2-4b^2+6ac}$ and simplify it under suitable restrictions on the values of $a$, $b$, and $c$, assuming all denominators are non-zero.
A) $\frac{a+2b-3c}{a-3b+2c}$ 
B) $\frac{a-2b+3c}{a+2b-3c}$
C) $\frac{a+2b-3c}{a-2b+3c}$
D) None of the above

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