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Question
मान ज्ञात कीजिए: (1 + i)6 + (1 – i)3
Sum
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Solution
(1 + i)6 = {(1 + i)2}3 = (1 + i2 + 2i)3 = (1 – 1 + 2i)3 = 8i3 = –8i
तथा (1 – i)3 = 1 – i3 – 3i + 3i2 = 1 + i – 3i – 3 = –2 – 2i
अतः, (1 + i)6 + (1 – i)3 = –8i – 2 – 2i = –2 – 10i
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