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