Question

[

1- 3 ?i

1+i

]2=______．

Answer 1

[

1- 3 i

1+i

]2=[

(1- 3 i)(1-i)

(1+i)(1-i)

]2
=[

(1- 3 )-(1+ 3 )i

2

]2=

(1- 3 )2

4

-(1-

3

)(1+

3

)i-

(1+ 3 )2

4

=-

3

+i．
故答案为-

3

+i．