
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 ${\left(2x-\sqrt{3}\right)}^{10}=a\_0+a\_1x+a\_2x^2+\cdots+a_{10}x^{10}$,

(1) Find $a\_0$;

(2) Find $\left(a\_0+a\_1+a\_2+a\_3+\cdots+a_{10}\right)\left(a\_0-a\_1+a\_2-a\_3+\cdots+a_{10}\right)$.

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