
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: $\sqrt{32}+\sqrt{8}-\sqrt{50}$;  
(2) Below is the process of Xiao Wen's mixed operation of square roots. Please read carefully and complete the corresponding tasks:  

| Solution: | $({\sqrt{3}-\sqrt{2}})^2 \times (5+2\sqrt{6}) = (3-2\sqrt{6}+2) \times (5+2\sqrt{6}) \ldots$ Step 1  
|           | $= (5-2\sqrt{6}) \times (5+2\sqrt{6}) \ldots$ Step 2  
|           | $= 25-12 \ldots$ Step 3  
|           | $= 13 \ldots$ Step 4  

Tasks:  
1. In the above solution process, the multiplication formula used in Step 1 is ______ (expressed in letters);  
2. In the above solution process, the error starts from Step ______, and the specific error is ______;  
3. The correct result of the calculation is ______.

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