
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 fraction by student Xiaolin. Please read carefully and complete the corresponding tasks.

$\frac{x^2-16}{x^2+8x+16}-\frac{2x+1}{2x+8}=\frac{(x+4)(x-4)}{(x+4)^{2}}-\frac{2x+1}{2(x+4)}\ldots $Step 1<br/>$=\frac{x-4}{x+4}-\frac{2x+1}{2(x+4)}\ldots $Step 2<br/>$=\frac{2(x-4)}{2(x+4)}-\frac{2x+1}{2(x+4)}\ldots $Step 3<br/>$=\frac{2x-8-(2x+1)}{2(x+4)}\ldots $Step 4<br/>$=\frac{2x-8-2x+1}{2(x+4)}\ldots $Step 5<br/>$=-\frac{7}{2x+8}\ldots $Step 6<br/>Task 1: Fill in the blanks<br/>①From the simplification steps above, the ______ step is to find a common denominator for the fractions, based on the property of ______.<br/>②Errors start to appear in the ______ step, the reason for this error is that there is a "-" sign in front of the parentheses, and after removing the parentheses, the second term inside the parentheses does not change sign.<br/>Task 2: Please write down the correct result of the simplified fraction ______.<br/>Task 3: When $x=\sqrt{2}-4$, find the value of the fraction.

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