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Answer + explanation would be appreciated

Answer + explanation would be appreciated-example-1
User Odgiiv
by
4.7k points

1 Answer

1 vote

Answer:

-2 + 2i

Explanation:


(1 + i)^(3)

i =
√(-1)


(1 + √(-1))^3


[(1 + √(-1))(1 + √(-1))] (1 + √(-1))

distribute the first 2 expressions

(1 + 2
√(-1) - 1 )
(1 + √(-1))

distribute

1 + 2
√(-1) - 1 +

combine like terms

-2 + 2
√(-1)

which is -2 + 2i

User Marten Veldthuis
by
4.2k points