Question 105802

Use the FOIL method for the first expression (First Outer Inner Last)
{{{(5+3j)(3-j)-(3+j)=5*3+5(-j)+(3j)3+(3j)(-j)-3-j}}}  FOIL and distributive property. 
Remember that {{{j^2=-1}}}
{{{(5+3j)(3-j)-(3+j)=15-5j+9j+3-3-j}}} 

{{{(5+3j)(3-j)-(3+j)=15+3-3+j(-5+9-1)}}} Group like terms. 
{{{(5+3j)(3-j)-(3+j)=15+j3}}} Final answer.