Question 284027
{{{(-7-2i)*(6+i)}}} Start with the given expression.



{{{(-7)(6)+(-7)(i)+(-2i)(6)+(-2i)(i)}}} FOIL.



{{{-42-7i-12i-2i^2}}} Multiply.



{{{-42-7i-12i-2(-1)}}} Replace {{{i^2}}} with {{{-1}}}. Note: {{{i^2=-1}}} since {{{i=sqrt(-1)}}}.



{{{-42-7i-12i+2}}} Multiply.



{{{-40-19i}}} Combine like terms.



So {{{(-7-2i)*(6+i)=-40-19i}}}.