Answer
(z-1)($z^{2}$+z+$1^{2}$)
Work Step by Step
$z^{3}$-1=$z^{3}$-$1^{3}$=(z-1)($z^{2}$+z1+$1^{2}$)
(z-1)($z^{2}$+z+$1^{2}$)
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