document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4621>Question 4621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is (2 - 3i) / (1 - 4i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2141 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> by this i take it you mean simplify?...if so, then multiply what you have by 1 ... is the fraction is still the same. However, my 1 is written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2B4i%29%2F%281%2B4i%29%29 ALIGN=MIDDLE  ALT=\"%28%281%2B4i%29%2F%281%2B4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, starting with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282-3i%29%2F%281-4i%29%29 ALIGN=MIDDLE  ALT=\"%28%282-3i%29%2F%281-4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282-3i%29%2F%281-4i%29%29%2A%28%281%2B4i%29%2F%281%2B4i%29%29 ALIGN=MIDDLE  ALT=\"%28%282-3i%29%2F%281-4i%29%29%2A%28%281%2B4i%29%2F%281%2B4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The reason for this is that the denominator can now be simplified into just a real number:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2B8i-3i-12i%5E2%29%2F%281%2B4i-4i-16i%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2B8i-3i-12i%5E2%29%2F%281%2B4i-4i-16i%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2B5i-12i%5E2%29%2F%281-16i%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2B5i-12i%5E2%29%2F%281-16i%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2B5i%2B12%29%2F%281%2B16%29%29 ALIGN=MIDDLE  ALT=\"%28%282%2B5i%2B12%29%2F%281%2B16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2814%2B5i%29%2F17 ALIGN=MIDDLE  ALT=\"%2814%2B5i%29%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hopefully, this is what you wanted?\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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