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Changing form (Posted on 2013-06-29) Difficulty: 2 of 5
Define a product a*b with a and b not necessarily distinct integers in {2,3,4,...}.
Show that a*b is always expressible as xy + xz + yz + 1, with x, y, and z positive integers.

Source: rephrased Putnam competition.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
SolutionTransformation (spoiler)Steve Herman2013-06-29 20:33:30
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