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Angelina_Jolie [31]
3 years ago
9

Answer + explanation would be appreciated

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

-2 + 2i

Step-by-step explanation:

(1 + i)^{3}

i = \sqrt{-1}

(1 + \sqrt{-1})^3

[(1 + \sqrt{-1})(1 + \sqrt{-1})] (1 + \sqrt{-1})

distribute the first 2 expressions

(1 + 2\sqrt{-1} - 1 ) (1 + \sqrt{-1})

distribute

1 + 2\sqrt{-1} - 1 +

combine like terms

-2 + 2 \sqrt{-1}

which is -2 + 2i

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