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 ->  Matrices-and-determiminant -> 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)      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Why do you call that "an identity?"