I don't know if he's trolling, or he really has problems. I'll pretend that he's for real.
There is no answer to your question. No magic words or acts that can repair broken trust. If you want this girl as your committed girl, why did you cheat on her? If something in you has changed since then, tell her and hope that she believes you. Otherwise, accept your fate.
Oh, yeah. When you ask a question here, just ask it straight out. Saying biznatch and then defining it was a waste of everyone's time. It's things like that, that makes everyone think you're being an idiot.