SOLUTION: i need to express this question as rational expression..it is from a hand out. i got it started but i am not sure if i am on track..thanks x^3+y^3+z^3-3xyz over a^3+b^3+c^3-3ab

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: i need to express this question as rational expression..it is from a hand out. i got it started but i am not sure if i am on track..thanks x^3+y^3+z^3-3xyz over a^3+b^3+c^3-3ab      Log On

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Question 73953: i need to express this question as rational expression..it is from a hand out.
i got it started but i am not sure if i am on track..thanks
x^3+y^3+z^3-3xyz over a^3+b^3+c^3-3abc
times
a^2+b^2+c^2-ab-bc-ca over x^2+y^2+z^2-xy-yz-zx

Answer by ffc_01(9) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E3%2By%5E3%2Bz%5E3-3xyz%29%2F%28a%5E3%2Bb%5E3%2Bc%5E3-3abc%29%29%28%28a%5E2%2Bb%5E2%2Bc%5E2-ab-bc-ca%29%2F%28x%5E2%2By%5E2%2Bz%5E2-xy-yz-zx%29%29
Factor the top and bottom of the first fraction
%28%28%28x%2By%2Bz%29%28x%5E2%2By%5E2%2Bz%5E2-xy-yz-zx%29%29%2F%28%28a%2Bb%2Bc%29%28a%5E2%2Bb%5E2%2Bc%5E2-ab-bc-ca%29%29%29%28%28a%5E2%2Bb%5E2%2Bc%5E2-ab-bc-ca%29%2F%28x%5E2%2By%5E2%2Bz%5E2-xy-yz-zx%29%29
multiply the fractions leaving everything in factored form
%28%28x%2By%2Bz%29%28x%5E2%2By%5E2%2Bz%5E2-xy-yz-zx%29%28a%5E2%2Bb%5E2%2Bc%5E2-ab-bc-ca%29%29%2F%28%28a%2Bb%2Bc%29%28a%5E2%2Bb%5E2%2Bc%5E2-ab-bc-ca%29%28x%5E2%2By%5E2%2Bz%5E2-xy-yz-zx%29%29
Cancel factor that are the same in the numerator and the denominator
%28x%2By%2Bz%29%2F%28a%2Bb%2Bc%29