复数(1-i)^2/1+i=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/14 21:45:44
复数(1-i)^2/1+i=复数(1-i)^2/1+i=复数(1-i)^2/1+i=(1-i)^2/(1+i)=(1-2i-1)/(1+i)=-2i/(1+i)=-2i(1-i)/(1+1)=-i(1

复数(1-i)^2/1+i=
复数(1-i)^2/1+i=

复数(1-i)^2/1+i=
(1 - i)^2/(1 + i)
= (1 - 2i - 1)/(1 + i)
= -2i/(1 + i)
= -2i(1 - i)/(1 + 1)
= -i(1 - i)
= -1 - i