
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
Factorize the following expressions:
1. $\frac{4}{9}m^2 + \frac{4}{3}mn + n^2$
2. $a^3 - 4a^2 - 12a$
3. $x^2(x - y) - y^2(x - y)$
4. $(a + b)^2 - 4(a + b - 1)$

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