Question

If W is complex cube root of unity then show that
(1-w- w2)6 + (1 + w + w2)6 = 128
​

Answer 1

Answer:

128

Step-by-step explanation:

i hope u understand this steps

Answer:

128

Step-by-step explanation:

Concept:

If ω is a cube root of unity

then

1+ω+ω²=0

and

ω³ = 1

( 1 - ω+ ω² )⁶ + ( 1 + ω - ω² )⁶

=( - ω - ω )⁶ + ( - ω² - ω² )⁶

=( - 2ω )⁶ + ( - 2ω² )⁶

=64 +64

=128