Question 219558
{{{(3+2i)*(2-5i)}}} Start with the given expression.



{{{(3)(2)+(3)(-5i)+(2i)(2)+(2i)(-5i)}}} FOIL.



{{{6-15i+4i-10i^2}}} Multiply.



{{{6-15i+4i-10(-1)}}} Replace {{{i^2}}} with -1.



{{{6-15i+4i+10}}} Multiply.



{{{16-11i}}} Combine like terms.



So {{{(3+2i)*(2-5i)=16-11i}}}