SOLUTION: I would like to verify that I have done this correctly. Divide the complex number (1-3i)/(3+2i) =((1-2i)(3-2i))/((3+2i)(3-2i)) = (3-8i)/9 =1/3+8i/9. How did I do?

Question 61174: I would like to verify that I have done this correctly. Divide the complex number (1-3i)/(3+2i)
=((1-2i)(3-2i))/((3+2i)(3-2i))
= (3-8i)/9
=1/3+8i/9.
How did I do?
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
(1-3i)/(3+2i)

[Use the FOIL method to multiply. Remember that i^2=-1]
.
[simplify]
[i^2=-1]

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