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Manipal MET2020MathematicsComplex Number

If 1, and ^2 are the cube roots of unity, then the value of (1- + ^2 ) (1+ - ^2 ) is equal to

Options

  1. A4
  2. B0
  3. C2
  4. D3

Correct answer

A. 4

Step-by-step solution

aligned (1- & .+ ^2 ) (1+ - ^2 ) & = (1+ ^2- ) (1+ - ^2 ) & =(- - ) (- ^2- ^2 ) ( 1+ + ^2=0 ) & =(-2 ) (-2 ^2 ) aligned =4 ( ^3 )=4 1 ( ^3=1 )=4

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