
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
Factorize the expression $x^4 - 64$.
**A)** $(x^2 + 8)(x + 2\sqrt{2})(x - 2\sqrt{2})$
**B)** $(x^2 + 8)^2$
**C)** $(x^2 + 8)(x^2 - 8)$
**D)** $(x^2 + 2x + 4)(x^2 - 2x + 4)$
**E)** $(x^2 - 4x + 8)(x^2 + 4x + 8)$

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