
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) \((a+1)(a-1)\); b) \((2a+3)(2a-3)\); c) \(\left(m^{3}-n^{5}\right)\left(n^{5}+m^{3}\right)\); d) \(\left(3m^{2}-5n^{2}\right)\left(3m^{2}+5n^{2}\right)\).

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