Find the value of (1 - ω + ω2)2 + (1 - ω+ ω)2

  1. 2
  2. -2
  3. 4
  4. -4

Answer (Detailed Solution Below)

Option 4 : -4
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Detailed Solution

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Concept:

1 + ω + ω2 = 0

 ω= 1

 

Calculation:

 (1 - ω + ω2)2 + (1 - ω+ ω)2

⇒ {(1 + ω2) - ω}2 + {(1+ ω) - ω2}2

(- ω - ω)2 + (-ω2 - ω2 )2 ,since 1 + ω + ω2 = 0 

2 + 4ω4

4(ω2 + ω) since, ω= 1

- 4

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