Value of {(1 + i)^6} + {(1 - i)^6} is

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4-1.Complex numbers

easy

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

A

$0$

B

$2^7$

C

$2^6$

D

None of these

Solution

(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$.

Standard 11

Mathematics

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