
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
Below is the process of simplifying a polynomial by Xiaowen. Please read carefully and complete the corresponding tasks.  
Solution: $(3x+2)(3x-2)-(3x-1)^{2}$  
$=(3x)^{2}-2^{2}-[(3x)^{2}-6x+1]\ldots$ Step 1  
$=9x^{2}-4-(9x^{2}-6x+1)\ldots$ Step 2  
$=9x^{2}-4-9x^{2}-6x-1\ldots$ Step 3  
$=-6x-5\ldots$ Step 4  
Task 1: Fill in the blanks.  
$(1)$ The multiplication formula used in the above solution is ______ (write one is enough);  
$(2)$ The error starts to appear in step ______, and the reason for the error is ______;  
Task 2: Please write down the correct result of the simplified polynomial directly.

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