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Commutator subgroup does not consist only of commutators?

I am looking for an simple example (i.e. for undergraduate students) of group whose commutators $xyx^{-1}y^{-1}$ do not form a subgroup.

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marked as duplicate by HJRW, Mark Sapir, Chris Godsil, Tony Huynh, Richard Kent Jan 11 '12 at 12:54

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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I'm voting to close this as a duplicate of this question: mathoverflow.net/questions/44269/… . –  HJRW Jan 11 '12 at 12:40

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