
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 expression
\[\frac{(P+Q)^2}{(P-Q)^2}-\frac{(P-Q)^2}{(P+Q)^2}\]
where \(P=a+b\) and \(Q=a-b\), is equivalent to which of the following?
**A)** \(\frac{a^2 + b^2}{ab}\)  
**B)** \(\frac{a^2 - b^2}{2ab^2}\)  
**C)** \(\frac{(a^2 + b^2)(a^2 - b^2)}{a^2 b^2}\)  
**D)** \(\frac{a^2 + b^2}{a^2 b^2}\)  
**E)** \(\frac{a^4 + b^4}{a^2 b^2}\)

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