document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=519806>Question 519806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (8+9i)/(8+4i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #345784 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=345784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B9i%29%2F%288%2B4i%29 ALIGN=MIDDLE  ALT=\"%288%2B9i%29%2F%288%2B4i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%2B9i%29%2F%288%2B4i%29%29%28%288-4i%29%2F%288-4i%29%29 ALIGN=MIDDLE  ALT=\"%28%288%2B9i%29%2F%288%2B4i%29%29%28%288-4i%29%2F%288-4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288-4i%29%2F%288-4i%29 ALIGN=MIDDLE  ALT=\"%288-4i%29%2F%288-4i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%2B9i%29%288-4i%29%29%2F%28%288%2B4i%29%288-4i%29%29 ALIGN=MIDDLE  ALT=\"%28%288%2B9i%29%288-4i%29%29%2F%28%288%2B4i%29%288-4i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%29%288%29%2B%288%29%28-4i%29%2B%289i%29%288%29%2B%289i%29%28-4i%29%29%2F%28%288%2B4i%29%288-4i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%29%288%29%2B%288%29%28-4i%29%2B%289i%29%288%29%2B%289i%29%28-4i%29%29%2F%28%288%29%288%29%2B%288%29%28-4i%29%2B%284i%29%288%29%2B%284i%29%28-4i%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2864-32i%2B72i-36i%5E2%29%2F%2864-32i%2B32i-16i%5E2%29 ALIGN=MIDDLE  ALT=\"%2864-32i%2B72i-36i%5E2%29%2F%2864-32i%2B32i-16i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%2B40i%29%2F%2880%29 ALIGN=MIDDLE  ALT=\"%28100%2B40i%29%2F%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%29%2F%2880%29%2B%28%2840%29%2F%2880%29%29i ALIGN=MIDDLE  ALT=\"%28100%29%2F%2880%29%2B%28%2840%29%2F%2880%29%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4%2B%281%2F2%29i ALIGN=MIDDLE  ALT=\"5%2F4%2B%281%2F2%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B9i%29%2F%288%2B4i%29=5%2F4%2B%281%2F2%29i ALIGN=MIDDLE  ALT=\"%288%2B9i%29%2F%288%2B4i%29=5%2F4%2B%281%2F2%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the expression is now in standard form <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;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=5%2F4 ALIGN=MIDDLE  ALT=\"a=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1%2F2 ALIGN=MIDDLE  ALT=\"b=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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