Question

计算(

2

1- 3 i

)2+(

1+i

3 +i

)2=______．

Answer 1

复数(

2

1- 3 i

)2+(

1+i

3 +i

)2
=[

2(1+ 3 i)

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

]2+

2i

2+ 2 3i

 
=

-2+2 3 i

4

+

3 +i

4

=

3 -2+(1+2 3 )i

4

故答案为：

3 -2+(1+2 3 )i

4

．．