SOLUTION: what is the simplest for of 1 - 4/x over 1 - 2/x - 8/x^2

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Question 826464: what is the simplest for of 1 - 4/x over 1 - 2/x - 8/x^2
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
1 - 4/x over 1 - 2/x - 8/x^2

Starting as %281-4%2Fx%29%2F%281-2%2Fx-8%2Fx%5E2%29;
%28%281-4%2Fx%29%2F%281-2%2Fx-8%2Fx%5E2%29%29%2A%28%28x%5E2%29%2F%28x%5E2%29%29
highlight%28%28x%5E2-4x%29%2F%28x%5E2-2x-8%29%29 --- most fundamentally...
%28x%28x-4%29%29%2F%28%28x%2B2%29%28x-4%29%29
highlight_green%28x%2F%28x%2B2%29%29 --- reduced form, but it is actually not the same as the other previously highlited form.