
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
$\frac{a^2 - 2ab + b^2}{ab} - \frac{2ab - b^2}{2ab - a^2} = \frac{(a^2 - 2ab + b^2)(2ab - a^2) - (2ab - b^2)(ab)}{(ab)(2ab - a^2)}.$

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