
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
When simplified and expressed with negative exponents, the expression $(x^2 + y^2)^{-1} (x^{-1} + y^{-1})$ is equal to:
A) $(x^3y + x y^3)^{-1}(x + y)$
B) $(x^2y^2 + y^2)^{-1}(x + y)$
C) $(x^2y + xy^2)^{-1}(x + y)$
D) $(xy)^{-1}$

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