<PRE><B>Question 171398</B>
{{{-(3+i)*(7-3i)}}} Start with the given expression.



{{{-((3)(7)+(3)(-3i)+(i)(7)+(i)(-3i))}}} FOIL.



{{{-(21-9i+7i-3i^2)}}} Multiply.



{{{-(21-9i+7i-3(-1))}}} Replace {{{i^2}}} with {{{-1}}}. Note: {{{i^2=-1}}}.



{{{-(21-9i+7i+3)}}} Multiply.



{{{-(24-2i)}}} Combine like terms.



{{{-24+2i}}} Distribute the negative.



So {{{-(3+i)*(7-3i)=-24+2i}}}.



So the expression is now in standard form {{{a+bi}}} where {{{a=-24}}} and {{{b=2}}}

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