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Express (15-20i)/(1-2i) in a+bi form.

I'm having a lot of trouble on this problem, and I've been trying to solve it for the past couple minutes, but i've had no luck.

Ideas appeciated.

Thank you in advance.

 Oct 27, 2018
 #1
avatar+28129 
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Multiply numerator and denominator by the complex conjugate of 1-2i; namely by 1+2i. 

Note that (1-2i)(1+2i) = 1 + 4 = 5; i.e. it no longer depends on i. 

 

See if if you can take it from there.

 Oct 27, 2018

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