
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
Simplify the expression:  
\[
\frac{\left(a^{1 / m}-a^{1 / n}\right)^{2}+4 a^{(m+n) /(m n)}}{\left(a^{2 / m}-a^{2 / n}\right)\left(\sqrt[m]{a^{m+1}}+\sqrt[n]{a^{n+1}}\right)}
\]

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