SOLUTION: This is my latest problem if some one would be so kind to have a go ,changing the following fraction into a mixed expression . k^3-1/k-1 if this could be shown completely broken

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Question 1131098: This is my latest problem if some one would be so kind to have a go ,changing the following fraction into a mixed expression . k^3-1/k-1 if this could be shown completely broken down step by step of the process as this would be much appreciated kind regards mike.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28k%5E3-1%29%2F%28k-1%29
=%28%28k+-+1%29%28k%5E2+%2B+k+%2B+1%29+%29%2F%28k+-+1%29

=%28cross%28%28k+-+1%29%29%28k%5E2+%2B+k+%2B+1%29+%29%2Fcross%28%28k+-+1%29%29

=k%5E2+%2B+k+%2B+1


For k%3C%3E1, we have %28k%5E3-1%29%2F%28k-1%29=k%5E2%2Bk%2B1. Either there is a typo somewhere, or the calculation is not quoted correctly.