
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:<br/>$(1)3x-12x^{2}$;<br/>$(2)-x^{2}+6xy-9y^{2}$;<br/>$(3)n^{2}(m-2)+\left(2-m\right)$;<br/>$(4)(a^{2}+4b^{2})^{2}-16a^{2}b^{2}$.

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