i是虚数单位，复数(1+i1−i)2+i2011的值是．

Question

i是虚数单位，复数((1+i)/(1−i))2+i2011的值是______．

Answer 1

((1+i)/(1−i))2+i2011=(((1+i)(1+i))/((1−i)(1+i)))2+i3=((2i)/(2))2−i=-1-i
故答案为：-1-i