
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
A student "illegally" simplified the exponents but got the correct answer:

\[
\frac{43^{3}+17^{3}}{43^{3}+26^{3}}=\frac{43+17}{43+26}=\frac{20}{23}
\]

Explain the reason for this "coincidence."

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