document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574541>Question 574541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the product of the given complex number and its conjugate\r<BR>\n" );
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document.write( "4-6i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369145 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hint: Given a complex number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and its conjugate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-bi ALIGN=MIDDLE  ALT=\"a-bi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the product of the two is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bbi%29%28a-bi%29=a%5E2-abi%2Babi-bi%5E2=a%5E2-%28-1%29b%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bbi%29%28a-bi%29=a%5E2-abi%2Babi-bi%5E2=a%5E2-%28-1%29b%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or more simply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bbi%29%28a-bi%29=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bbi%29%28a-bi%29=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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