SOLUTION: Simplify x^4 – 3x 3x - x^4

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Question 150980: Simplify
x^4 – 3x
3x - x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E4-3x%29%2F%283x-x%5E4%29 Start with the given expression.


%28x%2A%28x%5E3-3%29%29%2F%283x-x%5E4%29 Factor x%5E4-3x to get x%2A%28x%5E3-3%29.


%28x%2A%28x%5E3-3%29%29%2F%28-x%2A%28x%5E3-3%29%29 Factor 3x-x%5E4 to get -x%2A%28x%5E3-3%29.


Highlight the common terms.


-%28cross%28x%29cross%28%28x%5E3-3%29%29%29%2F%28cross%28x%29cross%28%28x%5E3-3%29%29%29 Cancel out the common terms.


-1 Simplify.


So %28x%5E4-3x%29%2F%283x-x%5E4%29 simplifies to -1.


In other words, %28x%5E4-3x%29%2F%283x-x%5E4%29=-1 where x%3C%3E0 or x%3C%3Eroot%283%2C3%29