
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
If $xy = b^2$ and $\frac{1}{x^2} + \frac{1}{y^2} = a$, determine the value of $(x + y)^2$.
A) \( ab^4 + 2b^2 \)
B) \( a^2 + b^4 \)
C) \( ab^4 + 2b \)
D) \( a(b^4 + 2) \)

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