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计算(1−4i)(1+i)+2+4i3+4i=.
题目详情
计算
=______.
(1−4i)(1+i)+2+4i |
3+4i |
▼优质解答
答案和解析
=
=
=
=
=
=1-i.
故答案为:1-i.
(1−4i)(1+i)+2+4i |
3+4i |
=
1−4i+i+4+2+4i |
3+4i |
=
7+i |
3+4i |
=
(7+i)(3−4i) |
(3+4i)(3−4i) |
=
21+3i−28i−4i2 |
9−16i2 |
=
25−25i |
25 |
=1-i.
故答案为:1-i.
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