(u)/(v) and (v)/(u) if u=2-3i and v= -3 + i?

Answer 1

(2-3i)/(-3+i)
(2-3i)(-3-i)/(9+1)
(-6-2i+9i-3)/10
(-9+7i)/10

10/(-9+7i)
10(-9-7i)/(81+49)
(-90-70i)/130

Answer 2

(2-3i) / (-3+i)

usually you want to get rid of the imaginary element in the denominator

in this case you do that by multiplying by to and bottom of fraction by (-3-i)

(2-3i)(-3-i)/(-3+i)(-3-i)

-6+7i-3 / 9+1

-9+7i / 10


even if I messed that up somewhere, perhaps you get the idea

Answer 3

Buckfush