caitlynnbordelon2 caitlynnbordelon2

19-02-2020
Mathematics

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what is the product of 3+2i and 3-2i?

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Hrishii Hrishii

19-02-2020

Step-by-step explanation:

[tex](3 + 2i)(3 - 2i) \\ \\ = {3}^{2} - {(2i)}^{2} \\ \\ = 9 - 4 {i}^{2} \\ \\ = 9 - 4( - 1).. ( \because \: {i}^{2} = - 1) \\ \\ = 9 + 4 \\ \\ = 13 \\ \\ \therefore \: (3 + 2i)(3 - 2i) = 13[/tex]

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