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Cubic Impression (Posted on 2013-11-02) Difficulty: 3 of 5
Express each of X, Y and Z in terms of a,b,c,p,q and r so that the equation given below becomes an identity.

(a3+b3+c3 - 3abc)(p3+q3+r3 - 3pqr) = X3+Y3+Z3 - 3XYZ

Note: Disregard any permutations. For example, if (X, Y, Z) = (α, β, γ), then (X, Y, Z) = (β, γ, α) is invalid.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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No Subject | Comment 2 of 4 |
Contrary to the comments posited, there does exist a general solution to the given problem.

I will wait for a week before officially posting the solution.

I regret my inability to provide any hint, as positing that would render this problem to less than D1 in light of the comment received until now.

  Posted by K Sengupta on 2013-11-06 02:47:16
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