
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 following fractions:
a) $\frac{(a+b)^{2}\left(a^{3}-b^{3}\right)}{\left(a^{2}-b^{2}\right)^{2}}$

b) $\frac{6 a^{2} b^{2}-3 a^{3} b-3 a b^{3}}{a b^{3}-a^{3} b}$.

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