Question 130216
{{{(i+6)(3i-2)}}} Start with the given expression



Now let's FOIL the expression




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



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



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



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



{{{(i+highlight(6))(3i+highlight(-2))}}} Multiply the Last terms:{{{(6)*(-2)=-12}}}



{{{3i^2-2i+18i-12}}} Now collect every term to make a single expression




{{{3i^2+16i-12}}} Now combine like terms



{{{3(-1)+16i-12}}} Replace {{{i^2}}} with -1. Remember {{{i^2=-1}}}



{{{-3+16i-12}}} Multiply



{{{-15+16i}}} Combine like terms


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Answer:

So {{{(i+6)(3i-2)}}} foils and simplifies to  {{{-15+16i}}}


In other words, {{{(i+6)(3i-2)=-15+16i}}}