Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If a = 1 + 
, b = x + 
, c = 
then find a 3 + b 3 + c 3 – 3abc.
Text Solution
Verified by ExpertsThe correct answer is:
A
a 3 + b 3 + c 3 – 3abc = (a + b + c)(a + bω + cω 2 )(a + bω 2 + cω)
where a + b + c = e x
and a + bω + cω 2 = 1 + ωx + 
and a +bω 2 + cω = 
so a 3 + b 3 + c 3 – 3abc = 
= e 0 = 1
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