Simplify \((i+1)^{3200}-(i-1)^{3200}\)
( i + 1)3200 - ( i - 1)3200 =
[ ( 1 + i)2]1600 - [ ( 1 - i)2]1600 =
[ 1 + 2i + i2 ] 1600 - [ 1 - 2i + i2 ]1600 =
[ 1 + 2i - 1 ] 1600 - [ 1 -2i - 1] 1600 =
[ 2i ]1600 - [ (-1) 2i ] 1600 = { (-1)2n = 1 }
[2i]1600 - [ 2i ] 1600 =
0
