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March 6th, 2013, 01:51 AM   #1
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Sequence and Series

For positive real numbers a,b,c prove that (a+b)(b+c)(c+a) >= abc
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March 6th, 2013, 01:54 AM   #2
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Re: Sequence and Series

Expand (a + b)(b + c)(c + a).
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March 6th, 2013, 02:45 AM   #3
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Re: Sequence and Series

Quote:
Originally Posted by greg1313
Expand (a + b)(b + c)(c + a).
No need to. a + b > a, b + c > b, c + a > c, hence (a+b)(b+c)(c+a) > abc.
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March 6th, 2013, 08:22 PM   #4
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How about a topic title that has some bearing on the problem posted?
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