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## Main Question or Discussion Point

In the factorisation of A^3 +/- B^3 = (A+/B)(A^2-/+A.B + B^2) the larger factor is the solution for finding the third side of a triangle with sides A and B with the angle between them of 60/120 degrees.(Cosine rule) For any set of three different numbers X>Y>Z there would be three different triangles with the length of the third side being (Y^3 + Z^3)^0.5 (60 deg), (X^3 - Y^3)^0.5 (120 deg) and (X^3 - Z^3)^0.5 (120 deg) Might be of interest in the proof of FLT for power 3.