The answer in the back of the book is 3/20 + 9/20i    

I changed the numerator to 20 and got (15/20 + 8/20)(15/20i + 4/20i). I am not sure where I went wrong on this.

Thank you for your help!
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1 Answer

(3/4)(2/5)+(3/4)(1/5)i^2+i((3/4)(2/5)+(3/4)(1/5))=3/10-3/20+(3/10+3/20)i=3/20+(9/20)i.

Or

(3/4)(1+i)(1/5)(2+i)=(3/20)(2+3i-1)=(3/20)(1+3i)=3/20+(9/20)i.
by Top Rated User (1.2m points)

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