
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
$(1)$ When $a=-2$, $b=1$, find the values of the two algebraic expressions $(a+b)^{2}$ and $a^{2}+2ab+b^{2}$.  
$(2)$ When $a=-2$, $b=-3$, find the values of the above two algebraic expressions.  
$(3)$ What conclusion can you draw from the above calculations? The conclusion is: ______.

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