Re: Congruence question.



Saysero <saysero@xxxxxxxxx> writes:

Prove that for any prime p, if a^p - b^p is divisible by p
then a^p - b^p is also divisible by p^2.

n n
x - y n-1 n
HINT In any ring ------- = n x = D (x ) if x = y
x - y

See also my prior posts [1] on the algebraic derivative for polynomials

--Bill Dubuque

[1] http://google.com/groups?selm=y8z64ry3745.fsf%40nestle.csail.mit.edu
http://google.com/groups?selm=y8zr6b6fd92.fsf%40nestle.csail.mit.edu
.