document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148302>Question 148302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write in standard form: (8+5i)/(6-4i)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108701 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=108701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2B5i%29%2F%286-4i%29 ALIGN=MIDDLE  ALT=\"%288%2B5i%29%2F%286-4i%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%2B5i%29%2F%286-4i%29%29%28%286%2B4i%29%2F%286%2B4i%29%29 ALIGN=MIDDLE  ALT=\"%28%288%2B5i%29%2F%286-4i%29%29%28%286%2B4i%29%2F%286%2B4i%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=%286%2B4i%29%2F%286%2B4i%29 ALIGN=MIDDLE  ALT=\"%286%2B4i%29%2F%286%2B4i%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%2B5i%29%286%2B4i%29%29%2F%28%286-4i%29%286%2B4i%29%29 ALIGN=MIDDLE  ALT=\"%28%288%2B5i%29%286%2B4i%29%29%2F%28%286-4i%29%286%2B4i%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=%2848%2B62i%2B20i%5E2%29%2F%2836-16i%5E2%29 ALIGN=MIDDLE  ALT=\"%2848%2B62i%2B20i%5E2%29%2F%2836-16i%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848%2B62i%2B20%28-1%29%29%2F%2836-16%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2848%2B62i%2B20%28-1%29%29%2F%2836-16%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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=%2848%2B62i-20%29%2F%2836%2B16%29 ALIGN=MIDDLE  ALT=\"%2848%2B62i-20%29%2F%2836%2B16%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=%2828%2B62i%29%2F%2852%29 ALIGN=MIDDLE  ALT=\"%2828%2B62i%29%2F%2852%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=%2828%29%2F%2852%29%2B%2862i%29%2F%2852%29 ALIGN=MIDDLE  ALT=\"%2828%29%2F%2852%29%2B%2862i%29%2F%2852%29\"   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=7%2F13%2B%2831%2F26%29i ALIGN=MIDDLE  ALT=\"7%2F13%2B%2831%2F26%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So the expression is now in a+bi form where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7%2F13 ALIGN=MIDDLE  ALT=\"a=7%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=31%2F26 ALIGN=MIDDLE  ALT=\"b=31%2F26\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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