If ω≠1 is a cube root of unity, show that the roots of the equation (z-1)3+8=0 are -1, 1-2ω, 1-2ω2

If ω≠1 is a cube root of unity, show that the roots of the equation $(z - 1)^{3}$ +8=0 are -1, 1-2ω, 1-2 $ω^{2}$

Matching exercise

Match the items on the right to the items on the left.

Step 1

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Step 4

Step 5

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