Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given: observe that the usual binomial expansion for (a+b)^n is valid in a commutative ring.© BrainMass Inc. brainmass.com March 4, 2021, 6:05 pm ad1c9bdddf
Binomial expansion in a ring is investigated. The solution is detailed and well presented.