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The value of `(1+i)^4+(1-i)^4` is

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The value of `(1+i)^4+(1-i)^4` is
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`(1+i)^4+(1-i)^4 = ((1+i)^2)^2+((1-i)^2)^2`
`=(1+i^2+2i)^2+(1+i^2-2i)^2`
`=(1-1+2i)^2+(1-1-2i)^2...[` As `i^2 = -1]`
`=4i^2+4i^2`
`=8i^2`
`=8(-1) = -8`
`:. (1+i)^4+(1-i)^4 = -8.`
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