On the Failure of a Theorem in the case of an Algebraic Identity, 4X = {Y^2} - {\left( { - 1} \ ight)^{{{n - 1} \over 2}}}p{Z^2}, where p is an odd Prime, X = \left( {{x^n} - 1} \ ight)/\left( {x - 1} \ ight), Y and Z are Polynomials in x