Elimination problem
- To: mathgroup at smc.vnet.net
- Subject: [mg130192] Elimination problem
- From: Francisco Javier García Capitán <garciacapitan at gmail.com>
- Date: Tue, 19 Mar 2013 00:04:20 -0400 (EDT)
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Dear friends,
How much possible is to eliminate m,n from the equations below?
{X == -(b - c) (b + c) (a^2 b^2 c^2 m^3 + 3 a^2 b^2 c^2 m^2 n -b^4 c^2 m^2
n - b^2 c^4 m^2 n + a^6 m n^2 - 2 a^4 b^2 m n^2 +
a^2 b^4 m n^2 - 2 a^4 c^2 m n^2 + 4 a^2 b^2 c^2 m n^2 - 2 b^4 c^2 m
n^2 + a^2 c^4 m n^2 - 2 b^2 c^4 m n^2 + a^6 n^3 -
a^4 b^2 n^3 - a^2 b^4 n^3 + b^6 n^3 - a^4 c^2 n^3 + 2 a^2 b^2 c^2 n^3
- b^4 c^2 n^3 - a^2 c^4 n^3 - b^2 c^4 n^3 + c^6 n^3),
Y == (a - c) (a + c) (a^2 b^2 c^2 m^3 - a^4 c^2 m^2 n + 3 a^2 b^2 c^2 m^2
n - a^2 c^4 m^2 n + a^4 b^2 m n^2 -
2 a^2 b^4 m n^2 + b^6 m n^2 - 2 a^4 c^2 m n^2 + 4 a^2 b^2 c^2 m n^2 -
2 b^4 c^2 m n^2 - 2 a^2 c^4 m n^2 +
b^2 c^4 m n^2 + a^6 n^3 - a^4 b^2 n^3 - a^2 b^4 n^3 + b^6 n^3 - a^4
c^2 n^3 + 2 a^2 b^2 c^2 n^3 - b^4 c^2 n^3 - a^2 c^4 n^3 -
b^2 c^4 n^3 + c^6 n^3),
Z == -(a - b) (a + b) (a^2 b^2 c^2 m^3 - a^4 b^2 m^2 n - a^2 b^4 m^2 n + 3
a^2 b^2 c^2 m^2 n - 2 a^4 b^2 m n^2 -
2 a^2 b^4 m n^2 + a^4 c^2 m n^2 + 4 a^2 b^2 c^2 m n^2 + b^4 c^2 m n^2
- 2 a^2 c^4 m n^2 - 2 b^2 c^4 m n^2 + c^6 m n^2 +
a^6 n^3 - a^4 b^2 n^3 - a^2 b^4 n^3 + b^6 n^3 - a^4 c^2 n^3 + 2 a^2
b^2 c^2 n^3 - b^4 c^2 n^3 - a^2 c^4 n^3 - b^2 c^4 n^3 +
c^6 n^3)}
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Francisco Javier Garc=EDa Capit=E1n
http://garciacapitan.99on.com