SOLUTION: Can you help me to solve this? I know that the answer is 0 (x^2yz)/((x-y)(x-z)) +(y^2zx)/((y-z)(y-x))+(z^2xy)/((z-x)(z-y))

Algebra ->  Test -> SOLUTION: Can you help me to solve this? I know that the answer is 0 (x^2yz)/((x-y)(x-z)) +(y^2zx)/((y-z)(y-x))+(z^2xy)/((z-x)(z-y))      Log On


   



Question 739980: Can you help me to solve this?
I know that the answer is 0
(x^2yz)/((x-y)(x-z)) +(y^2zx)/((y-z)(y-x))+(z^2xy)/((z-x)(z-y))

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!

--------
This is not solving, just simplifying.
=
Find a common denominator. (x-y)(x-z)(y-z) works
=
= %28xyz%2FDEN%29%2A%28x%28y-z%29+-+y%28x-z%29+%2B+z%2A%28x-y%29%29
= %28xyz%2FDEN%29%2A%28xy+-+xz+-+xy+%2B+yz+%2B+xz+-+yz%29
= 0