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If ω is an imaginary cube root of unity and x = a + b, y = aω + bω2, z = aω+ bω, then x+ y+ z2 is equal t
  • a)
    6ab
  • b)
    3ab
  • c)
    6a2b2
  • d)
    3a2b2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If ωis an imaginary cube root of unity and x = a + b, y = a&omeg...
x+ y+ z= (a + b)+ ω2(a + bω)+ (aω+ bω)2
= a+ b+ 2ab + a2ω+ b2ω+ 2abω+ a2ω+ b2ω+ 2abω3
= a2(1 + ω + ω2) + b2(1 + ω + ω2) + 6ab   [∵  ω=ω]
= 6ab     [∵  1 + ω + ω= 0]
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If ωis an imaginary cube root of unity and x = a + b, y = a&omeg...
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If ωis an imaginary cube root of unity and x = a + b, y = aω + bω2, z = aω2+ bω, then x2+ y2+ z2is equal ta)6abb)3abc)6a2b2d)3a2b2Correct answer is option 'A'. Can you explain this answer?
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