I'm learning logic and I have to prove algebraically that:

the AND operator may be expressed in terms of the

NOR operator as follows: p AND q= (p NOR p) NOR (q NOR q)

I have no idea how to work this out because I don't understand the second part. I understand p AND p perfectly well but how do I work this out using algebra?

I used the words as I was having problems with the copy and pasting the symbols.

Can you show me each step involved in breaking this down and working it out please I really need some help

**EDIT**

I have a screenshot here from a website I was refered to the other day and it proves it but doesn't show the working out... this is what I need to learn.