Question 316038
{{{(-7+6i)*(-7-5i)}}} Start with the given expression.



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



{{{49+35i-42i-30i^2}}} Multiply.



{{{49+35i-42i-30(-1)}}} Replace {{{i^2}}} with {{{-1}}}. Note: {{{i^2=-1}}}.



{{{49+35i-42i+30}}} Multiply.



{{{79-7i}}} Combine like terms.



So {{{(-7+6i)*(-7-5i)=79-7i}}}.