Question

ABSTRACT ALGEBRA
Please help me prove this statement

Answer 1

HI!!

Answer 2

i am pretty sure that in \(\mathbb{Z}_p\) you have
\[x^p+a\equiv x^p+a^p\]

Answer 3

and by some miracle, (as algebra students everywhere always suspected)\[x^p+a^p \equiv (x+a)^p\]