document.write( "Question 375707: Simplify the following product of complex numbers.
\n" ); document.write( "(5 + 3i) · (6 – 2i)\r
\n" ); document.write( "\n" ); document.write( "Any help would be appreciated! \n" ); document.write( "
Algebra.Com's Answer #267234 by jessica43(140)\"\" \"About 
You can put this solution on YOUR website!
To solve this problem, we are going to use the FOIL method:
\n" ); document.write( "First - Multiply the first term in each set of parentheses
\n" ); document.write( "Outer - Multiply the outer term in each set of parentheses
\n" ); document.write( "Inner - Multiply the inner term in each set of parentheses
\n" ); document.write( "Last - Multiply the last term in each set of parentheses\r
\n" ); document.write( "\n" ); document.write( "So for this problem:
\n" ); document.write( "(5 + 3i)*(6 - 2i)=
\n" ); document.write( "5(6) + (-5)(2i) + (3i)(6) + (3i)(-2i)=
\n" ); document.write( "30 - 10i + 18i - 6i^2
\n" ); document.write( "Now we know that since i = sqrt(-1), then i^2 = -1. So we can put this in the equation:
\n" ); document.write( "30 - 10i + 18i - 6(-1)=
\n" ); document.write( "30 - 10i + 18i + 6
\n" ); document.write( "Now we can combine like terms:
\n" ); document.write( "30 - 10i + 18i + 6=
\n" ); document.write( "36 + 8i
\n" ); document.write( "So your simplified answer is 36 + 8i.
\n" ); document.write( "Hope this helps! \n" ); document.write( "
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