
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
In the following algebraic expressions:  
①$(x-\frac{1}{2}y)(x+\frac{1}{2}y)$,  
②$\left(3a+bc\right)\left(-bc-3a\right)$,  
③$\left(3-x+y\right)\left(3+x+y\right)$,  
④$\left(100+1\right)\left(100-1\right)$  
Which of the following can be calculated using the square of a binomial formula? (Select the correct numbers)

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