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-   -   How do I completely factor 8x^2 - 50 (https://www.askmehelpdesk.com/showthread.php?t=774846)

  • Nov 11, 2013, 05:57 PM
    rjwjfw
    How do I completely factor 8x^2 - 50
    I am trying to help my daughter with her Algebra homework but I forgot how to do this kind of problem: 8x squared - 50. She has to factor the problem completely.
    I factored out a 2 which left me with 2(4x^2 - 25) but what next?
  • Nov 11, 2013, 07:38 PM
    neodarwinian
    That appears to be it.

    There are no further common factors that I can see.

    2(4X^2 - 25)
    ============This appears to be the fully factored expression. ( especially at the HS level )
  • Nov 12, 2013, 09:13 AM
    ebaines
    There is another step, recognizing that 4x^2-25 is the difference of two squares. Remember that:



    In this case setting a = 2x and b = 5 gives you:


    So the final answer is:


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