document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168737>Question 168737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello I'm new to this site, I wanted to know if<BR>\n" );
document.write( "there is a easy and short way to solve this problem?\r<BR>\n" );
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document.write( "(2+3i)(1-5i)\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 #124377 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=124377\">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=%282%2B3i%29%281-5i%29 ALIGN=MIDDLE  ALT=\"%282%2B3i%29%281-5i%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%282%29%2B3i%29%28highlight%281%29-5i%29 ALIGN=MIDDLE  ALT=\"%28highlight%282%29%2B3i%29%28highlight%281%29-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2A%281%29=2 ALIGN=MIDDLE  ALT=\"%282%29%2A%281%29=2\"   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%282%29%2B3i%29%281%2Bhighlight%28-5i%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282%29%2B3i%29%281%2Bhighlight%28-5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2A%28-5i%29=-10i ALIGN=MIDDLE  ALT=\"%282%29%2A%28-5i%29=-10i\"   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=%282%2Bhighlight%283i%29%29%28highlight%281%29-5i%29 ALIGN=MIDDLE  ALT=\"%282%2Bhighlight%283i%29%29%28highlight%281%29-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283i%29%2A%281%29=3i ALIGN=MIDDLE  ALT=\"%283i%29%2A%281%29=3i\"   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=%282%2Bhighlight%283i%29%29%281%2Bhighlight%28-5i%29%29 ALIGN=MIDDLE  ALT=\"%282%2Bhighlight%283i%29%29%281%2Bhighlight%28-5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ai%29%2A%28-5%2Ai%29=-15i%5E2 ALIGN=MIDDLE  ALT=\"%283%2Ai%29%2A%28-5%2Ai%29=-15i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "---------------------------------------------------\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-10i%2B3i-15i%5E2 ALIGN=MIDDLE  ALT=\"2-10i%2B3i-15i%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=2-7i-15i%5E2 ALIGN=MIDDLE  ALT=\"2-7i-15i%5E2\"   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=2-7i-15%28-1%29 ALIGN=MIDDLE  ALT=\"2-7i-15%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 -1 (note: I'm assuming that you are dealing with imaginary numbers, so remember that <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=2-7i%2B15 ALIGN=MIDDLE  ALT=\"2-7i%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=17-7i ALIGN=MIDDLE  ALT=\"17-7i\"   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=%282%2B3i%29%281-5i%29 ALIGN=MIDDLE  ALT=\"%282%2B3i%29%281-5i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs and simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17-7i ALIGN=MIDDLE  ALT=\"17-7i\"   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=%282%2B3i%29%281-5i%29=17-7i ALIGN=MIDDLE  ALT=\"%282%2B3i%29%281-5i%29=17-7i\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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