document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542175>Question 542175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply<BR>\n" );
document.write( " (1 + 2t)(1 - 3t^2)<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 #354467 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=354467\">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=%281%2B2t%29%281-3t%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2B2t%29%281-3t%5E2%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%281%29%2B2t%29%28highlight%281%29-3t%5E2%29 ALIGN=MIDDLE  ALT=\"%28highlight%281%29%2B2t%29%28highlight%281%29-3t%5E2%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=%281%29%2A%281%29=1 ALIGN=MIDDLE  ALT=\"%281%29%2A%281%29=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=%28highlight%281%29%2B2t%29%281%2Bhighlight%28-3t%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%281%29%2B2t%29%281%2Bhighlight%28-3t%5E2%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=%281%29%2A%28-3%2At%5E2%29=-3%2At%5E2 ALIGN=MIDDLE  ALT=\"%281%29%2A%28-3%2At%5E2%29=-3%2At%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=%281%2Bhighlight%282t%29%29%28highlight%281%29-3t%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2Bhighlight%282t%29%29%28highlight%281%29-3t%5E2%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=%282%2At%29%2A%281%29=2%2At ALIGN=MIDDLE  ALT=\"%282%2At%29%2A%281%29=2%2At\"   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=%281%2Bhighlight%282t%29%29%281%2Bhighlight%28-3t%5E2%29%29 ALIGN=MIDDLE  ALT=\"%281%2Bhighlight%282t%29%29%281%2Bhighlight%28-3t%5E2%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=%282%2At%29%2A%28-3%2At%5E2%29=-6%2At%5E3 ALIGN=MIDDLE  ALT=\"%282%2At%29%2A%28-3%2At%5E2%29=-6%2At%5E3\"   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( "So we have the terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2At%5E2 ALIGN=MIDDLE  ALT=\"-3%2At%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2At ALIGN=MIDDLE  ALT=\"2%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2At%5E3 ALIGN=MIDDLE  ALT=\"-6%2At%5E3\"   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=1-3%2At%5E2%2B2%2At-6%2At%5E3 ALIGN=MIDDLE  ALT=\"1-3%2At%5E2%2B2%2At-6%2At%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add every term listed above 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=1-3t%5E2%2B2t-6t%5E3 ALIGN=MIDDLE  ALT=\"1-3t%5E2%2B2t-6t%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now 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=%281%2B2t%29%281-3t%5E2%29 ALIGN=MIDDLE  ALT=\"%281%2B2t%29%281-3t%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-3t%5E2%2B2t-6t%5E3 ALIGN=MIDDLE  ALT=\"1-3t%5E2%2B2t-6t%5E3\"   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=%281%2B2t%29%281-3t%5E2%29=1-3t%5E2%2B2t-6t%5E3 ALIGN=MIDDLE  ALT=\"%281%2B2t%29%281-3t%5E2%29=1-3t%5E2%2B2t-6t%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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