Question

 If ω(≠ 1) is a cube root of unity and (1 +ω)⁷ = A + Bω,then A and B are respectively

(A) 0, 1 

(B) 1, 1 

(C) 1, 0 

(D) – 1, 1

Answer 1

Correct option (B) 1, 1

Explanation:

(1 + ω)⁷ = (1 + ω) (1 + ω)⁶

= (1 + ω) (–ω²)⁶

= 1 + ω

⇒ A + Bω = 1 + 0 

⇒  A = 1, B = 1