计算(1+2i)23+4i+(2+i)24-3i=______.-数学

题目简介

计算(1+2i)23+4i+(2+i)24-3i=______.-数学

题目详情

计算
(1+2i)2
3+4i
+
(2+i)2
4-3i
=______.
题型:填空题难度:中档来源:不详

答案

(1+2i)2
3+4i
+
(2+i)2
4-3i
=class="stub"-3+4i
3+4i
+class="stub"3+4i
4-3i

=
(-3+4i)(3-4i)
(3+4i)(3-4i)
+
(3+4i)(4+3i)
(4-3i)(4+3i)
=class="stub"7+49i
25

=class="stub"7
25
+class="stub"49
25
i

故答案为:class="stub"7
25
+class="stub"49
25
i

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