Помогите решить
i^123+(1-i)^4+(1+i)^3=?
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i^2 = -1, i^3 = -i, i^4 = 1
i^123 = i^120 * i^3 = (i^4)^30 * (-i) = -i
(1 - i)^4 = 1 - 4i + 6i^2 - 4i^3 + i^4 = 1 - 4i - 6 + 4i + 1 = -4
(1 + i)^3 = 1 + 3i + 3i^2 + i^3 = 1 + 3i - 3 - i = 2i - 2
i^123+(1-i)^4+(1+i)^3 = i - 6
i^123 = i^120 * i^3 = (i^4)^30 * (-i) = -i
(1 - i)^4 = 1 - 4i + 6i^2 - 4i^3 + i^4 = 1 - 4i - 6 + 4i + 1 = -4
(1 + i)^3 = 1 + 3i + 3i^2 + i^3 = 1 + 3i - 3 - i = 2i - 2
i^123+(1-i)^4+(1+i)^3 = i - 6
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