
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 expression:
\[(4+5)(4^2+5^2)(4^4+5^4)(4^8+5^8)(4^{16}+5^{16})(4^{32}+5^{32})(4^{64}+5^{64})(4^{128}+5^{128}).\]
Which of the following options is equivalent to the expression above?
A) $5^{257} - 4^{257}$
B) $5^{258} - 4^{258}$
C) $5^{256} - 4^{256}$
D) $5^{255} - 4^{255}$

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