document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316763>Question 316763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this.  Divide as indicated. Write the quotient in standard form.<BR>\n" );
document.write( "6+3i divided by 4-3i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226717 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=226717\">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=%286%2B3i%29%2F%284-3i%29 ALIGN=MIDDLE  ALT=\"%286%2B3i%29%2F%284-3i%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%286%2B3i%29%2F%284-3i%29%29%28%284%2B3i%29%2F%284%2B3i%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%2F%284-3i%29%29%28%284%2B3i%29%2F%284%2B3i%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=%284%2B3i%29%2F%284%2B3i%29 ALIGN=MIDDLE  ALT=\"%284%2B3i%29%2F%284%2B3i%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%286%2B3i%29%284%2B3i%29%29%2F%28%284-3i%29%284%2B3i%29%29 ALIGN=MIDDLE  ALT=\"%28%286%2B3i%29%284%2B3i%29%29%2F%28%284-3i%29%284%2B3i%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%286%29%284%29%2B%286%29%283i%29%2B%283i%29%284%29%2B%283i%29%283i%29%29%2F%28%284-3i%29%284%2B3i%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%286%29%284%29%2B%286%29%283i%29%2B%283i%29%284%29%2B%283i%29%283i%29%29%2F%28%284%29%284%29%2B%284%29%283i%29%2B%28-3i%29%284%29%2B%28-3i%29%283i%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=%2824%2B18i%2B12i%2B9i%5E2%29%2F%2816%2B12i-12i-9i%5E2%29 ALIGN=MIDDLE  ALT=\"%2824%2B18i%2B12i%2B9i%5E2%29%2F%2816%2B12i-12i-9i%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=%2824%2B18i%2B12i%2B9%28-1%29%29%2F%2816%2B12i-12i-9%28-1%29%29 ALIGN=MIDDLE  ALT=\"%2824%2B18i%2B12i%2B9%28-1%29%29%2F%2816%2B12i-12i-9%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 -1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2B18i%2B12i-9%29%2F%2816%2B12i-12i%2B9%29 ALIGN=MIDDLE  ALT=\"%2824%2B18i%2B12i-9%29%2F%2816%2B12i-12i%2B9%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=%2815%2B30i%29%2F%2825%29 ALIGN=MIDDLE  ALT=\"%2815%2B30i%29%2F%2825%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=%2815%29%2F%2825%29%2B%28%2830%29%2F%2825%29%29i ALIGN=MIDDLE  ALT=\"%2815%29%2F%2825%29%2B%28%2830%29%2F%2825%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=3%2F5%2B%286%2F5%29i ALIGN=MIDDLE  ALT=\"3%2F5%2B%286%2F5%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=%286%2B3i%29%2F%284-3i%29=3%2F5%2B%286%2F5%29i ALIGN=MIDDLE  ALT=\"%286%2B3i%29%2F%284-3i%29=3%2F5%2B%286%2F5%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=3%2F5 ALIGN=MIDDLE  ALT=\"a=3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=6%2F5 ALIGN=MIDDLE  ALT=\"b=6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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