(1+w-w^2)^3 - ( 1-w+w^2)^3 = 0
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Answer: (1+ω) 3 −(1+ω 2 ) 3
=(1+ω−1−ω 2 )
[(1+ω)
2 +(1+ω)(1+ω 2 )+(1+ω 2 ) 2 ]
=(ω−ω 2 )
[1+ω 2 +2ω+1+ω 2 +ω+ω 3 +1+ω 4 +2ω 2 ]
=(ω−ω 2 )
[4+4ω+4ω 2 ]
=(ω−ω 2 )×0
=0
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