
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
Factorization:<br/>$(1)4a^{2}+12ab+9b^{2}$;<br/>$(2)16a^{2}(a-b)+4b^{2}(b-a)$;<br/>$(3)25\left(m+n\right)^{2}-9\left(m-n\right)^{2}$;<br/>$(4)4a^{2}-b^{2}-4a+1$.

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