The value of (1 + i)^6 + (1 - i)^6 is - Vidyadip

MCQ

The value of ${(1 + i)^6} + {(1 - i)^6}$ is

✓
$0$
B
$2^7$
C
$2^6$
D
None of these

✓

Answer

Correct option: A.

$0$

a
(a) ${\left( {1 + i} \right)^6} + {(1 - i)^6} = {[{(1 + i)^2}]^3} + {[{(1 - i)^2}]^3}$
$ = \,{(2i)^3} + {( - 2i)^3}$$ = (8 - 8){i^3} = 0$.

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