In order to prevent confusion that may be caused by reading this problem written through keyboard text, I have written the identity in microsoft paint here:

gyazo. com/3afe07a6067e467d3776dd8b64ccac91

I need to find three different ways (Different meaning beginning each proof with a different strategy such as "multiply by conjugate") to prove that this identity is correct, but anything less than that is appreciated! Cheers

To accurately assist you with understanding and proving the given identity, it's important for you to provide the specific identity you are referring to. However, since you mentioned sharing an image of the identity using Microsoft Paint, as an AI text-based model, I am unable to view or access any external image links.

To proceed, please provide the actual identity or write it out in text form so that I can guide you through the process of proving it. Additionally, feel free to ask specific questions or share any relevant information you have, and I'll be glad to help you with the proofs.