
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: simplify first, then evaluate: $(x-\frac{{2xy-{y^2}}}{x})÷\frac{{{x^2}-{y^2}}}{{{x^2}+xy}}$, where $x=\tan ^{2}60^{\circ}+1$, $y=\tan 45^{\circ}-2\cos 30^{\circ}$.

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