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    Prove that if c  is odd ,  then  (ab/c) = (a/c)(b/c)           

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    Prove that if c  is odd ,                                         
          (ab/c) = (a/c)(b/c)              

    The problem is also in the attached file.

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    Solution Summary

    This solution explains the extension of Legendre symbol (a/p).    
      The solution is given in detail.    
      This is mainly for explaining Legendre symbol can extended to get  the Jacobi symbol.