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26-08-2020
Mathematics

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Compute $(1 + i)(2 + i)(3 + i).$

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26-08-2020

Answer:

10i

Step-by-step explanation:

Step 1: Expand first 2

(1 + i)(2 + i)

2 + i + 2i + i²

2 + 3i + (-1)

1 + 3i

Step 2: Expand again

(1 + 3i)(3 + i)

3 + i + 9i + 3i²

3 + 10i + 3(-1)

3 + 10i - 3

10i

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