Answer
$c^2-\frac{1}{c-1}$
Work Step by Step
$(c^3-c^2-1) \div (c-1)$
$c^2$
_________________________
$c-1)c^3-c^2-1$
$-c^3+c^2$
_________________________
$-1$
The answer is $c^2-\frac{1}{c-1}$.
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