If x = a + b, y = aα + bβ, z = aβ + bα, where α, β are complex cube roots of unity, (a, b…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If x = a + b, y = aα + bβ, z = aβ + bα, where α, β are complex cube roots of unity, (a, b ∈ \(\mathbb{R}\)), then xyz equals
- a2 + b2
- 0
- a3 + b3
- none of these
Answer
(C) a 3 + b 3
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