document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128866>Question 128866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5-4i)(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 #94249 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=94249\">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=%285-4i%29%283%2B6i%29 ALIGN=MIDDLE  ALT=\"%285-4i%29%283%2B6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "Now let's FOIL the expression\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%285%29-4i%29%28highlight%283%29%2B6i%29 ALIGN=MIDDLE  ALT=\"%28highlight%285%29-4i%29%28highlight%283%29%2B6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2A%283%29=15 ALIGN=MIDDLE  ALT=\"%285%29%2A%283%29=15\"   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=%28highlight%285%29-4i%29%283%2Bhighlight%286i%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%285%29-4i%29%283%2Bhighlight%286i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2A%286i%29=30i ALIGN=MIDDLE  ALT=\"%285%29%2A%286i%29=30i\"   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=%285%2Bhighlight%28-4i%29%29%28highlight%283%29%2B6i%29 ALIGN=MIDDLE  ALT=\"%285%2Bhighlight%28-4i%29%29%28highlight%283%29%2B6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4i%29%2A%283%29=-12i ALIGN=MIDDLE  ALT=\"%28-4i%29%2A%283%29=-12i\"   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=%285%2Bhighlight%28-4i%29%29%283%2Bhighlight%286i%29%29 ALIGN=MIDDLE  ALT=\"%285%2Bhighlight%28-4i%29%29%283%2Bhighlight%286i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4i%29%2A%286i%29=-24i%5E2 ALIGN=MIDDLE  ALT=\"%28-4i%29%2A%286i%29=-24i%5E2\"   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=15%2B30i-12i-24i%5E2 ALIGN=MIDDLE  ALT=\"15%2B30i-12i-24i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18i-24i%5E2%2B15 ALIGN=MIDDLE  ALT=\"18i-24i%5E2%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18i-24%28-1%29%2B15 ALIGN=MIDDLE  ALT=\"18i-24%28-1%29%2B15\"   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;\" >. Remember, <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=18i%2B24%2B15 ALIGN=MIDDLE  ALT=\"18i%2B24%2B15\"   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=39%2B18i ALIGN=MIDDLE  ALT=\"39%2B18i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-4i%29%283%2B6i%29 ALIGN=MIDDLE  ALT=\"%285-4i%29%283%2B6i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2B18i ALIGN=MIDDLE  ALT=\"39%2B18i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-4i%29%283%2B6i%29=39%2B18i ALIGN=MIDDLE  ALT=\"%285-4i%29%283%2B6i%29=39%2B18i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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