Mathematics Homework Solutions
Problem
#28714

Binomial Expansion in a Ring

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.


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Binomial Expansion in a Ring is investigated. The solution is detailed and well presented.

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Yupei Xiong, PhD - 4.8/5
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