
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
In the textbook, the formula $(a-b)^2 = a^2 - 2ab + b^2$ is derived from the formula $(a+b)^2 = a^2 + 2ab + b^2$. Given that $(a+b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4$, then $(a-b)^4 =$ ?

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