
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) \((x+y)\left(x^{2}-xy+y^{2}\right)\)

b) \((x+3)\left(x^{2}-3x+9\right)\)

c) \((x-1)\left(x^{2}+x+1\right)\)

d) \((2x-3)\left(4x^{2}+6x+9\right)\)

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