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Is it possible to simplify this equation?

  1. Sep 8, 2014 #1

    Rectifier

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    Hey there!
    This isn't actually a problem from a book or something. Its a problem I have stumbled upon when I did some physics.

    The problem
    I have come to this equation and I cant seem a way to simplify it
    $$Q_c^2 =Q^2 \frac{d_1^4+d_2^4}{(d_1d_2)^4} \cdot (d_1^2+d_2^2)^2 $$

    The attempt
    As I have said, this is my last step. For those who are interested can go to the physics sub-forum and see my thread about this problem there. And don't worry this is not a double post. I ask about the mathematical side of the problem here and about the physical side of the problem there. Here is the link:
    https://www.physicsforums.com/showthread.php?t=769683
     
  2. jcsd
  3. Sep 8, 2014 #2
    Actually not.....you can't express the term (d1^4 + d2 ^ 4) as a product. That's the simplest form you reached
     
  4. Sep 8, 2014 #3

    PeroK

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    The expression in ##d_1## and ##d_2## is in its simplest form. As Domenico has already said!
     
  5. Sep 8, 2014 #4

    Ray Vickson

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    I will give you a seemingly useless but very serious answer: define "simplify". This could be "simplify for accurate and efficient computation", "simplify for later use in such-and-such" (where---really---one form might make future analysis a lot easier than another), or perhaps "simplify for solving for ##d_1##", say, or ... ? One of the major problems facing developers of computer algebra systems is the question I started with: define 'simplify', since they need to deal with it when a user asks the package to perform simplification.
     
  6. Sep 8, 2014 #5

    Rectifier

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    Thank you for validating my suspicion.

    Sorry that I wasn't clear with my question. Concidering your definitions I fould say: simplify for solving for ## Q_c ## :smile:
     
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