(New page: Category:MA453Spring2009Walther I was stuck on part a). Any ideas on how to start it? --~~~~) |
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I was stuck on part a). Any ideas on how to start it? --[[User:Podarcze|Podarcze]] 13:27, 24 March 2009 (UTC) | I was stuck on part a). Any ideas on how to start it? --[[User:Podarcze|Podarcze]] 13:27, 24 March 2009 (UTC) | ||
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| + | What I did was use the Binomial Theorem. When you multiply out (x+y)^p, you notice the coefficients are all multiples of p. Since char(R)=p, then p times any element in R is 0. So, you end up with (x+y)^p = x^p+0+...+y^p=x^p+y^p. | ||
Revision as of 15:58, 24 March 2009
I was stuck on part a). Any ideas on how to start it? --Podarcze 13:27, 24 March 2009 (UTC)
What I did was use the Binomial Theorem. When you multiply out (x+y)^p, you notice the coefficients are all multiples of p. Since char(R)=p, then p times any element in R is 0. So, you end up with (x+y)^p = x^p+0+...+y^p=x^p+y^p.
