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If and are imaginary cube roots of units then value of ^4+ ²⁸+ 1 is

Options

  1. A1
  2. B0
  3. C-1
  4. D2

Correct answer

B. 0

Step-by-step solution

Let = , = ^2 Now ^4+ ²⁸+ 1 aligned & = ^4+ ( ^2 )²⁸+ 1 ^2 & = ^4+ ⁵⁶+ 1 ^3 & = + ^2+ 1 1 & .=0 [as ^3=1 ] aligned

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