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Math Help - Easy inequality?

  1. #1
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    Easy inequality?

    Can someone show me how to solve this inequality, could AM/GM be of any use?

     <br />
(a_0+a_1+...+a_n)^2+(a_0-a_1+...-a_n)^2\leq (n+2)(a_0^2+a_1^2+...+a_n^2)<br />
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Use:

    (x_0+x_1+\ldots +x_n)^2=\displaystyle\sum_{0\leq i \leq n}{x_i^2}+2\displaystyle\sum_{0\leq i<j\leq n}{x_ix_j}

    and simplify the left side.


    Fernando Revilla
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