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求證:(a^3+b^3+c^3-3abc)是(a+b+c)的倍數
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CMC

Joined: 23 Jan 2004Posts: 4

Posted: Tue Mar 29, 2005 9:35 pm    Post subject: 求證:(a^3+b^3+c^3-3abc)是(a+b+c)的倍數

求證:
是 的倍數

Illusion

Frequent VisitorJoined: 19 Jan 2005Posts: 37

Posted: Tue Mar 29, 2005 10:27 pm    Post subject: Re: 求證:(a^3+b^3+c^3-3abc)是(a+b+c)的倍數

CMC wrote:

求證:
是 的倍數

=

Wilson

Frequent VisitorJoined: 20 Oct 2004Posts: 79

Posted: Wed Mar 30, 2005 6:21 pm    Post subject: Re: 求證:(a^3+b^3+c^3-3abc)是(a+b+c)的倍數

CMC wrote:

求證:
是 的倍數

Alternatively,

Let .

From , we know that is a root of , hence is a factor of .

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