
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
Let \(a\) and \(b\) be positive real numbers such that \(a^3 + b^3 = a + b.\) Simplify the expression:
\[\left(\frac{a}{b} + \frac{b}{a}\right)^2 - \frac{1}{a^2b^2}.\]

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