document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817570>Question 817570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5m-3w)(5m+3w) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492114 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=492114\">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=%285m-3w%29%285m%2B3w%29 ALIGN=MIDDLE  ALT=\"%285m-3w%29%285m%2B3w%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%285m%29-3w%29%28highlight%285m%29%2B3w%29 ALIGN=MIDDLE  ALT=\"%28highlight%285m%29-3w%29%28highlight%285m%29%2B3w%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=%285%2Am%29%2A%285%2Am%29=25%2Am%5E2 ALIGN=MIDDLE  ALT=\"%285%2Am%29%2A%285%2Am%29=25%2Am%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=%28highlight%285m%29-3w%29%285m%2Bhighlight%283w%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%285m%29-3w%29%285m%2Bhighlight%283w%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=%285%2Am%29%2A%283%2Aw%29=15%2Aw%2Am ALIGN=MIDDLE  ALT=\"%285%2Am%29%2A%283%2Aw%29=15%2Aw%2Am\"   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=%285m%2Bhighlight%28-3w%29%29%28highlight%285m%29%2B3w%29 ALIGN=MIDDLE  ALT=\"%285m%2Bhighlight%28-3w%29%29%28highlight%285m%29%2B3w%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=%28-3%2Aw%29%2A%285%2Am%29=-15%2Aw%2Am ALIGN=MIDDLE  ALT=\"%28-3%2Aw%29%2A%285%2Am%29=-15%2Aw%2Am\"   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=%285m%2Bhighlight%28-3w%29%29%285m%2Bhighlight%283w%29%29 ALIGN=MIDDLE  ALT=\"%285m%2Bhighlight%28-3w%29%29%285m%2Bhighlight%283w%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=%28-3%2Aw%29%2A%283%2Aw%29=-9%2Aw%5E2 ALIGN=MIDDLE  ALT=\"%28-3%2Aw%29%2A%283%2Aw%29=-9%2Aw%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=25%2Am%5E2 ALIGN=MIDDLE  ALT=\"25%2Am%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Aw%2Am ALIGN=MIDDLE  ALT=\"15%2Aw%2Am\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15%2Aw%2Am ALIGN=MIDDLE  ALT=\"-15%2Aw%2Am\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9%2Aw%5E2 ALIGN=MIDDLE  ALT=\"-9%2Aw%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=25%2Am%5E2%2B15%2Aw%2Am-15%2Aw%2Am-9%2Aw%5E2 ALIGN=MIDDLE  ALT=\"25%2Am%5E2%2B15%2Aw%2Am-15%2Aw%2Am-9%2Aw%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=25m%5E2-9w%5E2 ALIGN=MIDDLE  ALT=\"25m%5E2-9w%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=%285m-3w%29%285m%2B3w%29 ALIGN=MIDDLE  ALT=\"%285m-3w%29%285m%2B3w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25m%5E2-9w%5E2 ALIGN=MIDDLE  ALT=\"25m%5E2-9w%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=%285m-3w%29%285m%2B3w%29=25m%5E2-9w%5E2 ALIGN=MIDDLE  ALT=\"%285m-3w%29%285m%2B3w%29=25m%5E2-9w%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Special Note: This is a difference of squares </SPAN>\n" );
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