SOLUTION: Write the expression ((3-i)^2(3+i))/ (2-i) in standard form

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Question 1059938: Write the expression ((3-i)^2(3+i))/ (2-i) in standard form
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(3-i)^2(3+i)/ (2-i)
= (9 - 6i + i^2)*(3+i)/(2-i)
= (8-6i)(3+i)/(2-i)
= (24 - 10i - 6i^2)/(2-i)
= (30-10i)/(2-i)
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= (30-10i)*(2+i)/((2-i)*(2+i))
= (60 + 10i - 10i^2)/(4-i^2)
= (70 + 10i)/5
= 14 + 2i