Question
Download Solution PDFFind the value of (1 - ω + ω2)2 + (1 - ω2 + ω)2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
1 + ω + ω2 = 0
ω3 = 1
Calculation:
(1 - ω + ω2)2 + (1 - ω2 + ω)2
⇒ {(1 + ω2) - ω}2 + {(1+ ω) - ω2}2
⇒ (- ω - ω)2 + (-ω2 - ω2 )2 ,since 1 + ω + ω2 = 0
⇒ 4ω2 + 4ω4
⇒ 4(ω2 + ω) since, ω3 = 1
⇒ - 4
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