perplexus.info :: Just Math : Difference of Cubes OF DOOM

Difference of Cubes OF DOOM (Posted on 2005-02-11)

Suppose we have the follwing two identities:
(Ax-26)(Bx^2+Cx+D)=8x^3-2197
and (Ex-52)(Fx^2+Gx+H)=8x^3-2197;

Compute the quantity ((13B/2 + 2D/13 + AB)+(13F/2+2H/13+EF)).

See The Solution Submitted by Dustin

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