
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
The factors of $x^4+256$ are:
**A)** \( (x^2 + 16)^2 \) \\
**B)** \( (x^2 + 16)(x^2 - 16) \) \\
**C)** \( (x^2 - 8x + 32)(x^2 + 8x + 32) \) \\
**D)** \( (x^2 - 8x + 16)(x^2 + 8x + 16) \) \\
**E)** \( (x^2-8x+16)(x^2-8x-16) \)

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