Show that x - y2 - x- - y-22 - x-2 - y-2 - 6xy-

Expanding, we getL.H.S = x^2(1 + ω^2 + ω^4) + y^2 (1 + ω^4 + ω^2) + 2xy(1 + ω^3 #160; + ω^3) = x^2(1 + ω^2 + ω) ...

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Sum of n Terms

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Question

Show that $(x + y)^{2} + (x ω + y ω^{2})^{2} + (x ω^{2} + y ω)^{2} = 6 x y .$

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