
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
$(1)$ Calculate:<br/>①$x^{3}\cdot x+x^{2}\cdot x^{2}$;<br/>②$2a\left(a-b\right)+2ab$.<br/>$(2)$ Factorize:<br/>①$a^{3}-4a$;<br/>②$\left(x+y\right)^{2}-4xy$.

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