
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) $2x^3-8x=$  
(2) $x^3-5x^2+6x=$  
(3) $4x^4y^2-5x^2y^2-9y^2=$  
(4) $3x^2-10xy+3y^2=$

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