【(1-根号3*i)/(1+i)】^2等于多少?
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【(1-根号3*i)/(1+i)】^2等于多少?
![【(1-根号3*i)/(1+i)】^2等于多少?](/uploads/image/z/3775446-54-6.jpg?t=%E3%80%90%281-%E6%A0%B9%E5%8F%B73%2Ai%29%2F%281%2Bi%29%E3%80%91%5E2%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
【(1-根号3*i)/(1+i)】^2
=[(1-根号3i)(1-i)/(1+1)]^2
=[(1-i-根号3i-根号3)/2]^2
=[(1-根号3)-(1+根号3)i]^2/4
=[(1-根号3)^2-2(1-根号3)(1+根号3)i-(1+根号3)^2]/4
=(-4根号3+4i)/4
=-根号3+i
=[(1-根号3i)(1-i)/(1+1)]^2
=[(1-i-根号3i-根号3)/2]^2
=[(1-根号3)-(1+根号3)i]^2/4
=[(1-根号3)^2-2(1-根号3)(1+根号3)i-(1+根号3)^2]/4
=(-4根号3+4i)/4
=-根号3+i