
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
Simplify the expression:
\[
\frac{x-y}{x^{3 / 4}+x^{1 / 2} y^{1 / 4}} \cdot \frac{x^{1 / 2} y^{1 / 4}+x^{1 / 4} y^{1 / 2}}{x^{1 / 2}+y^{1 / 2}} \cdot \frac{x^{1 / 4} y^{-1 / 4}}{x^{1 / 2}-2 x^{1 / 4} y^{1 / 4}+y^{1 / 2}}.
\]

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