
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
$(a-b)(a^n+a^{n-1}b+a^{n-2}b^2+\ldots+a^2b^{n-2}+ab^{n-1}+b^n)=$ .

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