document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207869>Question 207869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: Neither a nor b equal zero. <BR>\n" );
document.write( "Evaluate:<BR>\n" );
document.write( "(a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157698 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=157698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: Neither a nor b equal zero. <BR>\n" );
document.write( "Evaluate:<BR>\n" );
document.write( "(a+bi)[(a/a^2+b^2)-(b/a^2+b^2)i]<BR>\n" );
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document.write( "Since a^2+b^2 = (a+bi)(a-bi) you get the following:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= a/(a-bi) - b/(a-bi)\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "= (a-b)/(a-bi)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );