已知i为虚数单位，m∈R，则2−i1+i+1+2i1−i=．

Question

已知i为虚数单位，m∈R，则(2−i)/(1+i)+(1+2i)/(1−i)=______．

Answer 1

(2−i)/(1+i)+(1+2i)/(1−i)
=((2−i)(1−i))/((1+i)(1−i))+((1+2i)(1+i))/((1−i)(1+i))
=(1−3i)/(2)+(−1+3i)/(2)
=0
故答案为0