Question
Question: If 1, w, w<sup>2</sup> are the cube root of unity, then (1 + w)<sup>3</sup> – (1 + w<sup>2</sup>)<su...
If 1, w, w2 are the cube root of unity, then (1 + w)3 – (1 + w2)3 is equal to –
A
0
B
1
C
w
D
w2
Answer
0
Explanation
Solution
Sol. 1+ w + w2 = 0
(– w2)3 – (– w)3 = – w6 + w3 = – 1 + 1 = 0