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Show that

  1. Jan 15, 2007 #1
    show that
    (a+b+c)^3=a^3+b^3+c^3
    implies that
    (a+b+c)^5=a^5+b^5+c^5
     
  2. jcsd
  3. Jan 15, 2007 #2

    matt grime

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    Homework Helper

    What have you tried to do?
     
  4. Jan 15, 2007 #3

    berkeman

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    Staff: Mentor

    Moved to homework forum.
     
  5. Jan 15, 2007 #4
    The first step you could do is put in numbers and verify it works numerically =).

    Let's say

    x * y^2 = x * y * y
    x = 3, y = 2

    3 * 2^2 = 12. (3 * 4 = 12)
    3 * 2 * 2.

    3 * 2 * 2 = 3 * 4 = 12
    3 * 2 = 6 -> 6 * 2 = 12.

    Thus, they are the same since they end up with the same answer =).
     
    Last edited: Jan 15, 2007
  6. Jan 15, 2007 #5

    cristo

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    But that's not a proof; that's just showing it for certain numbers.

    ashrafmod: have you tried anything?
     
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