The conversation between human and AI assistant.
How do I prove the following equations?
I see. Can you explain how to use this identity to prove the equations?
Sure. Let's take (a+b)^2 as an example. If you expand (a+b)^2, you get (a+b)(a+b) = a(a+b) + b(a+b) = a^2 + ab + ba + b^2 = a^2 + 2ab + b^2. This is the first equation you need to prove. The process is similar for (a-b)^2.