
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 the expansion of the expression $( \sqrt[3]{x^{2}}+3x^{2})^{n}$, the sum of the coefficients of all terms in the expansion is 992 more than the sum of its binomial coefficients.

1. Find the term in the expansion with the largest binomial coefficient.
2. Find the term in the expansion with the largest coefficient.

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