SOLUTION: Simplify: When I factor out the neumerator and denominator, then simplify, I dont get the correct answer. x^2-y^-Z^2-2yz/x^2-y^2+z^2-2xz

Algebra ->  Rational-functions -> SOLUTION: Simplify: When I factor out the neumerator and denominator, then simplify, I dont get the correct answer. x^2-y^-Z^2-2yz/x^2-y^2+z^2-2xz       Log On


   

Question 162909: Simplify:
When I factor out the neumerator and denominator, then simplify, I dont get the correct answer.
x^2-y^-Z^2-2yz/x^2-y^2+z^2-2xz


Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
First factor the numerator and denominator respectively
x%5E2+-y%5E2-z%5E2-2yz
=x%5E2+-y%5E2-2yz-z%5E2
=x%5E2-%28y%5E2%2B2yz%2Bz%5E2%29
=x%5E2+-%28y%2Bz%29%5E2
=%28x%2B%28y%2Bz%29%29%28x-%28y%2Bz%29%29
=%28x%2By%2Bz%29%28x-y-z%29
***********************************
x%5E2+-y%5E2%2Bz%5E2-2xz
=x%5E2-2xz+%2Bz%5E2-y%5E2
=%28x-z%29%5E2-y%5E2
=%28%28x-z%29%2By%29%28%28x-z%29-y%29
=%28x-z%2By%29%28x-z-y%29
=%28x%2By-z%29%28x-y-z%29
So
%28x%5E2+-y%5E2-z%5E2-2yz%29%2F%28x%5E2+-y%5E2%2Bz%5E2-2xz%29
=%28%28x%2By%2Bz%29%28x-y-z%29%29%2F%28%28x%2By-z%29%28x-y-z%29%29
=%28%28x%2By%2Bz%29cross%28%28x-y-z%29%29%29%2F%28%28x%2By-z%29cross%28%28x-y-z%29%29%29
=%28x%2By%2Bz%29%2F%28x%2By-z%29