document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174836>Question 174836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i simplify (x^2+16)(x^2-16)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129901 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=129901\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This expression represents a difference of squares <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28a-b%29=a%5E2-b%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28a-b%29=a%5E2-b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B16%29%28x%5E2-16%29=%28x%5E2%29%5E2-%2816%29%5E2=x%5E4-256 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B16%29%28x%5E2-16%29=%28x%5E2%29%5E2-%2816%29%5E2=x%5E4-256\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Alternative (slightly longer) Explanation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B16%29%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B16%29%28x%5E2-16%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%5E2%29%2B16%29%28highlight%28x%5E2%29-16%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%5E2%29%2B16%29%28highlight%28x%5E2%29-16%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%5E2%29%2A%28x%5E2%29=x%5E4 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2A%28x%5E2%29=x%5E4\"   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%5E2%29%2B16%29%28x%5E2%2Bhighlight%28-16%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28x%5E2%29%2B16%29%28x%5E2%2Bhighlight%28-16%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%5E2%29%2A%28-16%29=-16x%5E2 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2A%28-16%29=-16x%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=%28x%5E2%2Bhighlight%2816%29%29%28highlight%28x%5E2%29-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bhighlight%2816%29%29%28highlight%28x%5E2%29-16%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=%2816%29%2A%28x%5E2%29=16x%5E2 ALIGN=MIDDLE  ALT=\"%2816%29%2A%28x%5E2%29=16x%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=%28x%5E2%2Bhighlight%2816%29%29%28x%5E2%2Bhighlight%28-16%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bhighlight%2816%29%29%28x%5E2%2Bhighlight%28-16%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=%2816%29%2A%28-16%29=-256 ALIGN=MIDDLE  ALT=\"%2816%29%2A%28-16%29=-256\"   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%5E4-16x%5E2%2B16x%5E2-256 ALIGN=MIDDLE  ALT=\"x%5E4-16x%5E2%2B16x%5E2-256\"   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=x%5E4-256 ALIGN=MIDDLE  ALT=\"x%5E4-256\"   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%5E2%2B16%29%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B16%29%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-256 ALIGN=MIDDLE  ALT=\"x%5E4-256\"   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%5E2%2B16%29%28x%5E2-16%29=x%5E4-256 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B16%29%28x%5E2-16%29=x%5E4-256\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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