
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. $2x^{2}-18$
2. $(\frac{1}{36}a-\frac{1}{3})a+1$
3. $15x^{2}(y+4)-30x\left(y+4\right)$
4. $(a^{2}+b^{2})^{2}-4a^{2}b^{2}$.

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