
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
For all non-zero numbers \( a \) and \( b \) such that \( a = 2/b \), evaluate the expression \( \left(a - \frac{2}{a}\right)\left(b + \frac{2}{b}\right) \).
**A)** \( a^2 + \frac{4}{a^2} \)  
**B)** \( a^2 - 4b^2 \)  
**C)** \( a^2 - \frac{4}{a^2} \)  
**D)** \( 4a^2 - b^2 \)  
**E)** \( 4b^2 - a^2 \)

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