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What method of factorization is this?

  1. Apr 28, 2012 #1
    [tex]x^4+1[/tex]
    [tex]x^4+2x^2+1-2x^2[/tex]
    [tex](x^2+1)^2-(\sqrt{2}x)^2[/tex]
    [tex](x^2+\sqrt{2}x+1)(x^2-\sqrt{2}x+1)[/tex]

    In particular the second line, seems obvious now that I've seen it but I've never come across in a book before - what is it called?
     
  2. jcsd
  3. Apr 28, 2012 #2

    mathman

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    Gold Member

    Completing the square?
     
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