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Complex Numbers Group Exercise 4

Show That (2 + 3i)) (3 -3 i)  = -3/18 + 15/18  by stating the justification for each step.

STATEMENT JUSTIFICATION
(2 + 3i)/(3 -3i)

(2 + 3i)/(3 -3 i) = [(2 + 3i)/(3 -3 i)] ● [(3+3i)/(3+3i)]

[(2 + 3i)/(3 -3 i)] ● [(3+3i)/(3+3i)]  =
(6 + 6i + 9i + 9i2)/(9 +9i-9i - 9i2)

(6 + 6i + 9i + 9i2)/(9 +9i-9i - 9i2) =
(6 + 6i + 9i - 9)/(9 +9i-9i +9)

(6 + 6i + 9i - 9)/(9 +9i-9i +9) = (-3 + 15i)/18

(-3 + 15i)/18 = -3/18 + 15/18

 

Given

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