
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
Given $A=a^{2}-2ab+b^{2}$, $B=a^{2}+2ab+b^{2}$, where $a\neq b$. <br/>$(1)$ Determine the sign of $A+B$ and explain the reason; <br/>$(2)$ If $ab$ are reciprocals of each other, find the value of $A-B$.

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