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  • [(1-2i)^2/(3-4i)]-[(2+i)^2/(4-3i)]=?

    [(1-2i)^2/(3-4i)]-[(2+i)^2/(4-3i)]=?
    數(shù)學(xué)人氣:597 ℃時間:2020-04-15 16:28:42
    優(yōu)質(zhì)解答
    [(1-2i)^2/(3-4i)]-[(2+i)^2/(4-3i)]
    =[1-4-4i)/(3-4i)]-[(4-1+4i)/(4-3i)]
    =-(3+4i)/(3-4i)-(3+4i)/(4-3i)
    =-(3+4i)^2/[(3-4i)(3+4i)]-(3+4i)(4+3i)/[(4-3i)(4+3i)]
    =-(9-16+24i)/(9+16)-(12+9i+16i-12)/(16+9)
    =(7-24i)/25-(25i)/25
    =7/25-24/25i-i
    =7/25-49/25i
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