Question 142984


{{{(6+2i)(-4-3i)}}} Start with the given expression



Now let's FOIL the expression




Remember, when you FOIL an expression, you follow this procedure:



{{{(highlight(6)+2i)(highlight(-4)-3i)}}} Multiply the First terms:{{{(6)*(-4)=-24}}}



{{{(highlight(6)+2i)(-4+highlight(-3i))}}} Multiply the Outer terms:{{{(6)*(-3i)=-18i}}}



{{{(6+highlight(2i))(highlight(-4)-3i)}}} Multiply the Inner terms:{{{(2i)*(-4)=-8i}}}



{{{(6+highlight(2i))(-4+highlight(-3i))}}} Multiply the Last terms:{{{(2i)*(-3i)=-6i^2=-6(-1)=6}}}



{{{-24-18i-8i+6}}} Now collect every term to make a single expression




{{{-18-26i}}} Now combine like terms



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Answer:

So {{{(6+2i)(-4-3i)}}} foils and simplifies to  {{{-18-26i}}}


In other words, {{{(6+2i)(-4-3i)=-18-26i}}}