
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
Determine the expression equivalent to \[(4+3)(4^2+3^2)(4^4+3^4)(4^8+3^8)(4^{16}+3^{16})(4^{32}+3^{32})(4^{64}+3^{64}).\]
A) $3^{127} + 4^{127}$
B) $3^{128} - 4^{128}$
C) $3^{128} + 4^{128}$
D) $3^{127} - 4^{127}$
E) $7^{127}$

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