
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
Evaluate the expression \( x^4 - x^{-4} \).
**A)** \( (x - x^{-1})^2(x^2 + x^{-2}) \)  
**B)** \( (x^2 - x^{-2})^2 \)  
**C)** \( (x - x^{-1})(x + x^{-1})(x^2 + x^{-2}) \)  
**D)** \( (x^2 - 1)(x^2 + 1) \)  
**E)** None of these

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