document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064080>Question 1064080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> explain the process of multiplying or dividing of complex numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679115 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=679115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> NOTE:  a,b,c,d are real values.<BR>\n" );
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document.write( "Multiplying is straightforward.  You just use the distributive property (aka FOIL) of binomials:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Bbi%29%28c%2Bdi%29+=+ac+%2B+adi+%2B+bci+%2B+bdi%5E2++=+%28ac-bd%29+%2B+%28ad%2Bbc%29i+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >   \r<BR>\n" );
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document.write( "Dividing is a bit more work.  One first multiplies the top and bottom by the complex conjugate of the denominator to get a denominator that is a real number:\r<BR>\n" );
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document.write( "Of course, when you have numbers for a,b,c,and d, you can carry out the arithmetic until you end up with a complex number A+Bi where A and B are real numbers.\r<BR>\n" );
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document.write( "I encourage you to practice using problems you might find in your text or problems you find online.  The process is not difficult but with practice it becomes even easier.<BR>\n" );
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