
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
If ${\left( 2x+\sqrt{3} \right)}^{4}={a}_{0}+{a}_{1}x+{a}_{2}{x}^{2}+{a}_{3}{x}^{3}+{a}_{4}{x}^{4}$, find the value of ${\left( {a}_{0}+{a}_{2}+{a}_{4} \right)}^{2}-{\left( {a}_{1}+{a}_{3} \right)}^{2}$.

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