
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 expressions:

$$
\frac{a^{3}+b^{3}}{(a-b)^{2}+ab}, \quad \frac{x^{2}-4ax+4a^{2}}{x^{2}-4a^{2}}, \quad \frac{xy-2x-3y+6}{xy-2x}
$$

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