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

Rating: 2.7500 (4 votes)

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re(2): No Subject -- No Error

| Comment 3 of 8 |

(In reply to re: No Subject -- Error? by Richard)

In the expression '8x^3', only the x is cubed. So:

(4-26)(2+13+84.5)=(-22)(99.5)=-2189 = 8*1^3-2197=-2189.

Posted by Dustin on 2005-02-11 17:41:54

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