document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195721>Question 195721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply<BR>\n" );
document.write( "(x5+7x)(x5-7x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146761 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=146761\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E5%2B7x%29%28x%5E5-7x%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%2B7x%29%28x%5E5-7x%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%28x%5E5%29%2B7x%29%28highlight%28x%5E5%29-7x%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%5E5%29%2B7x%29%28highlight%28x%5E5%29-7x%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=%28x%5E5%29%2A%28x%5E5%29=x%5E10 ALIGN=MIDDLE  ALT=\"%28x%5E5%29%2A%28x%5E5%29=x%5E10\"   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%28x%5E5%29%2B7x%29%28x%5E5%2Bhighlight%28-7x%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%5E5%29%2B7x%29%28x%5E5%2Bhighlight%28-7x%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=%28x%5E5%29%2A%28-7%2Ax%29=-7%2Ax%5E6 ALIGN=MIDDLE  ALT=\"%28x%5E5%29%2A%28-7%2Ax%29=-7%2Ax%5E6\"   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=%28x%5E5%2Bhighlight%287x%29%29%28highlight%28x%5E5%29-7x%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%2Bhighlight%287x%29%29%28highlight%28x%5E5%29-7x%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=%287%2Ax%29%2A%28x%5E5%29=7%2Ax%5E6 ALIGN=MIDDLE  ALT=\"%287%2Ax%29%2A%28x%5E5%29=7%2Ax%5E6\"   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=%28x%5E5%2Bhighlight%287x%29%29%28x%5E5%2Bhighlight%28-7x%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%2Bhighlight%287x%29%29%28x%5E5%2Bhighlight%28-7x%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=%287%2Ax%29%2A%28-7%2Ax%29=-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%287%2Ax%29%2A%28-7%2Ax%29=-49%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\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=x%5E10 ALIGN=MIDDLE  ALT=\"x%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2Ax%5E6 ALIGN=MIDDLE  ALT=\"-7%2Ax%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ax%5E6 ALIGN=MIDDLE  ALT=\"7%2Ax%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"-49%2Ax%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=x%5E10-7%2Ax%5E6%2B7%2Ax%5E6-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E10-7%2Ax%5E6%2B7%2Ax%5E6-49%2Ax%5E2\"   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=x%5E10-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E10-49%2Ax%5E2\"   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=%28x%5E5%2B7x%29%28x%5E5-7x%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%2B7x%29%28x%5E5-7x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E10-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E10-49%2Ax%5E2\"   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=%28x%5E5%2B7x%29%28x%5E5-7x%29=x%5E10-49%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E5%2B7x%29%28x%5E5-7x%29=x%5E10-49%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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