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Find the value of (1+ i)^(6) + (1-i)^(6)...

Find the value of `(1+ i)^(6) + (1-i)^(6)`

A

`16i`

B

`0`

C

`-16i`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
`(1+i)^(6) + (1-i)^(6) = [(1+i)^(2)]^(3)+[(1-i)^(2)]^(3)`
` =[1+ 2i+ i^(2)]^(3) +{1 -2i +i^(2)]^(3)`
` =(2i) +(-2i)^(3)`
`=( 8-8)i^(3) =0`
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