document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357140>Question 357140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform indicated operation and simplify.  Write each answer in form of a+bi<BR>\n" );
document.write( "1. (4+i)(2+3i)<BR>\n" );
document.write( "2. 3i/4+2i<BR>\n" );
document.write( "3. (5-2i)/(3+6i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255041 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=255041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Bi%29%2A%282%2B3i%29 ALIGN=MIDDLE  ALT=\"%284%2Bi%29%2A%282%2B3i%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=%284%29%282%29%2B%284%29%283i%29%2B%28i%29%282%29%2B%28i%29%283i%29 ALIGN=MIDDLE  ALT=\"%284%29%282%29%2B%284%29%283i%29%2B%28i%29%282%29%2B%28i%29%283i%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=8%2B12i%2B2i%2B3i%5E2 ALIGN=MIDDLE  ALT=\"8%2B12i%2B2i%2B3i%5E2\"   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=8%2B12i%2B2i%2B3%28-1%29 ALIGN=MIDDLE  ALT=\"8%2B12i%2B2i%2B3%28-1%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;\" >. Note: <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;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B12i%2B2i-3 ALIGN=MIDDLE  ALT=\"8%2B12i%2B2i-3\"   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=5%2B14i ALIGN=MIDDLE  ALT=\"5%2B14i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Bi%29%2A%282%2B3i%29=5%2B14i ALIGN=MIDDLE  ALT=\"%284%2Bi%29%2A%282%2B3i%29=5%2B14i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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