
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:

(1) (3 points) $3a^3 - 6a^2 + 3a$.

(2) (4 points) $a^2(x - y) + b^2(y - x)$.

(3) (4 points) $16(a + b)^2 - 9(a - b)^2$.

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