
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) \(\left(x^{2}-1+x\right)\left(x^{2}-1+3 x\right)+x^{2}\)

2) \((x-a)^{4}+4 a^{4}\)

3) \((a+1)^{4}+2(a+1)^{3}+a(a+2)\)

4) \((p+2)^{4}+2\left(p^{2}-4\right)^{2}+(p-2)^{4}\)

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