SOLUTION: Perform the division x3 -1/x2+x+1

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Question 1199368: Perform the division x3 -1/x2+x+1
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

Well known identity is

     = .


From this identity,

     = x-1.


ANSWER.   = x-1.

Solved.


For this identity,    = ,   see the lesson
    - The difference of cubes formula.
in this site.

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Alternatively,  you may divide using long division.

The answer will be the same.



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