(1+i)^3/(1-i)^2=

题目详情

(1+i)^3/(1-i)^2=

▼优质解答

答案和解析

(1+i)³/(1-i)²
=(1+i)²·(1+i)/(1-i)²
=(1+2i-1)·(1+i)/(1-2i-1)
=2i(1+i)/(-2i)
=(2i-2)/(-2i)
=(i-1)/(-i)
=(i-1)i/(-i)i
=(-1-i)/1
=-1-i

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