
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
Determine the factors of the expression \(x^6 + 64\).
A) \((x^2 + 4)(x^3 - 4x + 16)\)
B) \((x^2 + 4)(x^4 - 4x^2 + 16)\)
C) \((x + 4)(x^5 - 4x^2 + 16)\)
D) \((x^2 + 8)(x^4 - 8x^2 + 64)\)
E) \((x^3 + 4)(x^3 - 4x^2 + 16)\)

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