SOLUTION: How do you simplify 3/(2-4i)-(3+2i)?

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Question 690359: How do you simplify 3/(2-4i)-(3+2i)?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28%282-4i%29-%283%2B2i%29%29
Distribute the negative in the denominator and combine like terms
3%2F%282-4i-3-2i%29+=+3%2F%28-1-6i%29+=+3%2F%28-1%281-6i%29%29+=+-3%2F%281-6i%29
Rationalize the denominator

In the denominator
(1-6i)(1+6i) ==> foil
1 - 36i^2
i = sqrt%28-1%29, so i%5E2=sqrt%28-1%29%5E2=-1
1 - 36(-1) = 1 + 36 = 37
...
In the numerator, distribute the -3
-3(1+6i) = -3 - 18i
...
highlight_green%28%28-3-18i%29%2F37%29
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