Question

If ω(≠ 1) is a cube root of unity, and (1 + ω)⁷= A + Bω. Then (A, B) equals

(A)  (1, 1) 

(B)  (1, 0) 

(C)  (–1, 1) 

(D)  (0, 1)

Answer 1

Correct option (A) (1, 1)

(1 + ω)⁷= A + Bω

⇒ (- ω²)⁷= A + Bω

⇒ -ω² = A + Bω

⇒  1 + ω = A + Bω

⇒ A = 1, B = 1