
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
Calculate the value of the expression $\frac{x^{-3}-y^{-3}}{x^{-1}-y^{-1}}$, where $x \neq y$ and both $x$ and $y$ are non-zero.
A) $x^{-3} + y^{-3}$
B) $x^{-2} + y^{-2}$
C) $x^{-2} + x^{-1}y^{-1} + y^{-2}$
D) $x^{-1} + y^{-1}$
E) $x^2 + y^2$

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