help me (if you can) whith problem

i have to proove that for any odd prime number p we have got:

for any (X,Y,Z) belonging to Z*Z*Z and not equal to (0,0,0) we cannot have: X^p+Y^p=Z^p

This problem is reputed to be very difficult, but it may have suffer from his reputation and seems out of the domain of communication according to the silence the readers of Mr FreeLunch thread have kept allthough his demonstration can be obviously disqualified in two lines (off writing your lasy creatures)

I am certain it has a very elementary solution but that the isolated persons who have tried to solve it couldnt find it yet, paralysed by the presuposed impossibility to solve it, the wise dimention of elementary investigation, and the fact that nobody give the clues they have on this problem.

Someone will certainly give me a correct answer soon.

Accept my anticipated congratulation.