
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
Compute the expression
$$\left(\frac{x^2-1}{x}\right)\left(\frac{y^2-1}{y}\right) - \left(\frac{x^2-1}{y}\right)\left(\frac{y^2-1}{x}\right)$$
where $xy \neq 0$.
A) 0
B) 1
C) \( xy \)
D) \( \frac{x}{y} + \frac{y}{x} \)

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