
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
Convert the following polynomials to the standard form:
1) \((a-b)(a+b)\left(a^{2}+a b+b^{2}\right)\left(a^{2}-a b+b^{2}\right)\)
2) \((x-1)^{3}(x+1)^{2}\left(x^{2}+1\right)\left(x^{2}+x+1\right)\)
3) \(\left(x^{4}-x^{2}+1\right)\left(x^{2}-x+1\right)\left(x^{2}+x+1\right)\).

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