SOLUTION: What does the quotient equal? {{{(3+i)/(2-3i)}}}

Form the conjugate of the denominator:

The denominator is  so to form
the conjugate we use the first term but
we change the sign of the term in ,
so the conjugate of  is 
Put that over itself. That is, we form the 
fraction  which is just  
in value.

Then we multiply the original expression by
this:



Put parentheses around everything:



Indicate the multiplication of numerators and denominators:



Use FOIL on the top and bottom:







Now replace the 's by 







Make two fractions:



To write it in the form ,



Edwin