Question 316760
{{{(6-2i)*(7+5i)}}} Start with the given expression.



{{{(6)(7)+(6)(5i)+(-2i)(7)+(-2i)(5i)}}} FOIL.



{{{42+30i-14i-10i^2}}} Multiply.



{{{42+30i-14i-10(-1)}}} Replace {{{i^2}}} with {{{-1}}}. Note: {{{i^2=-1}}}.



{{{42+30i-14i+10}}} Multiply.



{{{52+16i}}} Combine like terms.



So {{{(6-2i)*(7+5i)=52+16i}}}.