Saturday, 10 October 2015

How to simplify this rational expression?



This expression should be extremely easy to simplify, but for some reason I can't do it.



x41x1



I know it simplifies down to this, but I don't know how to get there



x3+x2+x+1




This is a very basic question on my calculus worksheet, I would appreciate if anyone could explain how the first expression simplifies down to the second.


Answer



Write it as the difference of two squares (x21)(x2+1)(x1)
(x+1)(x1)(x2+1)(x1)
(x+1)(x2+1)=x3+x2+x+1


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