
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
Find the simplified result of \((a+bi)(a-bi)\), where \(a\) and \(b\) are real numbers, and \(i\) is the imaginary unit.
A) \(a^2 - b^2\)
B) \(a^2 + b^2\)
C) \(2a^2\)
D) \(2ab\)

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