2021genguerrero
2021genguerrero 2021genguerrero
  • 02-12-2019
  • Mathematics
contestada

Multiply and simplify the product (6 + 3i)(6 − 3i)

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 04-12-2019

Answer:

[tex]\displaystyle 45[/tex]

Step-by-step explanation:

[tex]\displaystyle (6 + 3i)(6 - 3i) = 36 - 9i^2 = 36 - 9[-1] = 36 + 9 = 45[/tex]

Extended Information on the Complex Number System

[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[Any\:multiple\:of\:four][/tex]

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