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
$i^3$

✓

Answer

Correct option: A.

$0$

(A)
$(1+i)^6+(1-i)^6=\left[(1+i)^2\right]^3+\left[(1-i)^2\right]^3$
$=(2 i )^3+(-2 i )^3$
$=(8-8) i ^3$
$=0$

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