document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176960>Question 176960</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Multiply: (a-2b)(a+2b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132006 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=132006\">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=%28a-2b%29%28a%2B2b%29 ALIGN=MIDDLE  ALT=\"%28a-2b%29%28a%2B2b%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%28a%29-2b%29%28highlight%28a%29%2B2b%29 ALIGN=MIDDLE  ALT=\"%28highlight%28a%29-2b%29%28highlight%28a%29%2B2b%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=%28a%29%2A%28a%29=a%5E2 ALIGN=MIDDLE  ALT=\"%28a%29%2A%28a%29=a%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%28a%29-2b%29%28a%2Bhighlight%282b%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28a%29-2b%29%28a%2Bhighlight%282b%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=%28a%29%2A%282%2Ab%29=2%2Aa%2Ab ALIGN=MIDDLE  ALT=\"%28a%29%2A%282%2Ab%29=2%2Aa%2Ab\"   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=%28a%2Bhighlight%28-2b%29%29%28highlight%28a%29%2B2b%29 ALIGN=MIDDLE  ALT=\"%28a%2Bhighlight%28-2b%29%29%28highlight%28a%29%2B2b%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=%28-2%2Ab%29%2A%28a%29=-2%2Aa%2Ab ALIGN=MIDDLE  ALT=\"%28-2%2Ab%29%2A%28a%29=-2%2Aa%2Ab\"   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=%28a%2Bhighlight%28-2b%29%29%28a%2Bhighlight%282b%29%29 ALIGN=MIDDLE  ALT=\"%28a%2Bhighlight%28-2b%29%29%28a%2Bhighlight%282b%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=%28-2%2Ab%29%2A%282%2Ab%29=-4%2Ab%5E2 ALIGN=MIDDLE  ALT=\"%28-2%2Ab%29%2A%282%2Ab%29=-4%2Ab%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=a%5E2%2B2%2Aa%2Ab-2%2Aa%2Ab-4%2Ab%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2B2%2Aa%2Ab-2%2Aa%2Ab-4%2Ab%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=a%5E2-4%2Ab%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-4%2Ab%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=%28a-2b%29%28a%2B2b%29 ALIGN=MIDDLE  ALT=\"%28a-2b%29%28a%2B2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2-4%2Ab%5E2 ALIGN=MIDDLE  ALT=\"a%5E2-4%2Ab%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=%28a-2b%29%28a%2B2b%29=a%5E2-4%2Ab%5E2 ALIGN=MIDDLE  ALT=\"%28a-2b%29%28a%2B2b%29=a%5E2-4%2Ab%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note: this problem is an example of the use of difference of squares. </SPAN>\n" );
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