Question

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

Answer 1

Answer:

$\displaystyle 45$

Step-by-step explanation:

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

Extended Information on the Complex Number System

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

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