SOLUTION: Prove the following identity |x y z| |x^2 y^2 z^2| |y+z z+x x+y| = (x+y+z)(x-y)(y-z)(z-x)

Algebra.Com
Question 1142335: Prove the following identity
|x y z|
|x^2 y^2 z^2|
|y+z z+x x+y| = (x+y+z)(x-y)(y-z)(z-x)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Why do you call that "an identity?"
RELATED QUESTIONS

x+y+z=-x^2-y^2+z... (answered by greenestamps,Alan3354)
(x+y+z)^2=? (answered by jim_thompson5910)
(y + z)/x - z/x (answered by Fombitz)
Solve it-:... (answered by ikleyn)
x + y + z = (x * y) / 2 (x * x) + (y * y) = z *... (answered by ikleyn)
Solve the system for x, y and z: x+y+z=8 x-y+z=2... (answered by Alan3354,TigerAlgebra)
Solve the system. x-y+z=0 x+y+z=-2... (answered by Alan3354,ikleyn)
(x+y-z)(x+y+z) (answered by richwmiller)
(x+y)-(y+z)-(z+x) (answered by sciwiz55)