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How do you factor something like 8x^6+64?

  1. Sep 24, 2011 #1
    1. The problem statement, all variables and given/known data
    I need to factor the following.
    8x^6+64?

    2. Relevant equations



    3. The attempt at a solution
    I really have no idea. I can pull 8 out and write 8(x^6)+64 but it doesn't get father than that.
     
  2. jcsd
  3. Sep 24, 2011 #2

    Mark44

    Staff: Mentor

    You can factor this as a sum of cubes.

    Here are the formulas:

    a3 + b3 = (a + b)(a2 -ab + b2)
    a3 - b3 = (a - b)(a2 +ab + b2)
     
  4. Sep 24, 2011 #3

    Mark44

    Staff: Mentor

    If you're going to do that, pull out 8 from both terms.
     
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