
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
Find an expression that is equivalent to
\[
(4+5)(4^2+5^2)(4^4+5^4)(4^8+5^8)(4^{16}+5^{16})(4^{32}+5^{32})(4^{64}+5^{64})(4^{128}+5^{128})
\]
A) \(5^{256} + 4^{256}\)
B) \(5^{256} - 4^{256}\)
C) \(9^{128}\)
D) \(9^{128} - 1\)
E) \(5^{128} - 4^{128}\)

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