document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283669>Question 283669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (4+5i)(2-3i) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205853 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=205853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4+5i)(2-3i)\r<BR>\n" );
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document.write( "Use FOIL (first outside inside last)\r<BR>\n" );
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document.write( "First:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2A+2+=+8 ALIGN=MIDDLE  ALT=\"4+%2A+2+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Outside: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2A+%28-3i%29+=+-12i ALIGN=MIDDLE  ALT=\"4+%2A+%28-3i%29+=+-12i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Inside:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285i%29+%2A+2+=+10i ALIGN=MIDDLE  ALT=\"%285i%29+%2A+2+=+10i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Last:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5i+%2A+%28-3i%29+=+-15i%5E2 ALIGN=MIDDLE  ALT=\"5i+%2A+%28-3i%29+=+-15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's put it all together:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+-+12i+%2B+10i+-15i%5E2 ALIGN=MIDDLE  ALT=\"8+-+12i+%2B+10i+-15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+-2i+-+15i%5E2 ALIGN=MIDDLE  ALT=\"8+-2i+-+15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We're not done yet.  See the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15i%5E2 ALIGN=MIDDLE  ALT=\"-15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >? <BR>\n" );
document.write( "Well, <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;\" > = <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( "Therefore, for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15i%5E2 ALIGN=MIDDLE  ALT=\"-15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > you really have:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-15%29%28-1%29 ALIGN=MIDDLE  ALT=\"%28-15%29%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is:  15\r<BR>\n" );
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document.write( "THEREFORE... you really have 8 - 2i + 15, which is.....<BR>\n" );
document.write( "23 - 2i\r<BR>\n" );
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document.write( "See how that worked out?  I hope this helps you.  :-) </SPAN>\n" );
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