
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
Given $(\sqrt{3}x-\sqrt{2})^{3}=a_{0}x^{3}+a_{1}x^{2}+a_{2}x+a_{3}$, calculate $(a_{0}+a_{2})^{2}-(a_{1}+a_{3})^{2}$.

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