
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
Consider the expansion of $[(a+4b)^{2}(a-2b)^{2}]^{3}$ when fully simplified. How many distinct terms does it have?
A) 6   
B) 7   
C) 8   
D) 9   
E) 10

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