
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 expression \(a^{\frac{2}{\log_{b} a}+1} \cdot \dot{b} - 2 a^{\log_{a} b+1} \cdot b^{\log_{b} a+1} + a b^{\frac{2}{\log_{a} b}+1}\).

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