i=√-1
i² = -1
a
(2-i)(2+i) - (3-2i) + 7 = 2² - i² - 3 + 2i + 7 = 4 + 1 - 3 + 2i + 7 = 9 + 2i
б
(1 + i)⁴ = (1 + i)²(1 + i)² = (1+ 2i + i²)(1 + 2i + i²) = (1 + 2i - 1)(1+ 2i - 1) = 2i*2i = 4i² = -4
а)
b)
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Verified answer
i=√-1
i² = -1
a
(2-i)(2+i) - (3-2i) + 7 = 2² - i² - 3 + 2i + 7 = 4 + 1 - 3 + 2i + 7 = 9 + 2i
б
(1 + i)⁴ = (1 + i)²(1 + i)² = (1+ 2i + i²)(1 + 2i + i²) = (1 + 2i - 1)(1+ 2i - 1) = 2i*2i = 4i² = -4
а)
b)