
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 expression:

$$
\left[\frac{(a+b)^{2}+2 b^{2}}{a^{3}-b^{3}}-\frac{1}{a-b}+\frac{a+b}{a^{2}+a b+b^{2}}\right] \cdot\left(\frac{1}{b}-\frac{1}{a}\right)
$$

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