document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118317>Question 118317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284ab-1%29%5E2 ALIGN=MIDDLE  ALT=\"%284ab-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, should I multiply it using foil or is there another option? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #86422 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=86422\">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=%284ab-1%29%5E2 ALIGN=MIDDLE  ALT=\"%284ab-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284ab-1%29%284ab-1%29 ALIGN=MIDDLE  ALT=\"%284ab-1%29%284ab-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax ALIGN=MIDDLE  ALT=\"x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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%284ab%29-1%29%28highlight%284ab%29-1%29 ALIGN=MIDDLE  ALT=\"%28highlight%284ab%29-1%29%28highlight%284ab%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the First terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284ab%29%2A%284ab%29=16a%5E2b%5E2 ALIGN=MIDDLE  ALT=\"%284ab%29%2A%284ab%29=16a%5E2b%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%284ab%29-1%29%284ab%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%284ab%29-1%29%284ab%2Bhighlight%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Outer terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284ab%29%2A%28-1%29=-4ab ALIGN=MIDDLE  ALT=\"%284ab%29%2A%28-1%29=-4ab\"   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=%284ab%2Bhighlight%28-1%29%29%28highlight%284ab%29-1%29 ALIGN=MIDDLE  ALT=\"%284ab%2Bhighlight%28-1%29%29%28highlight%284ab%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Inner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2A%284ab%29=-4ab ALIGN=MIDDLE  ALT=\"%28-1%29%2A%284ab%29=-4ab\"   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=%284ab%2Bhighlight%28-1%29%29%284ab%2Bhighlight%28-1%29%29 ALIGN=MIDDLE  ALT=\"%284ab%2Bhighlight%28-1%29%29%284ab%2Bhighlight%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the Last terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%2A%28-1%29=1 ALIGN=MIDDLE  ALT=\"%28-1%29%2A%28-1%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=16a%5E2b%5E2-4ab-4ab%2B1 ALIGN=MIDDLE  ALT=\"16a%5E2b%5E2-4ab-4ab%2B1\"   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=16a%5E2b%5E2-8ab%2B1 ALIGN=MIDDLE  ALT=\"16a%5E2b%5E2-8ab%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284ab-1%29%284ab-1%29 ALIGN=MIDDLE  ALT=\"%284ab-1%29%284ab-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > foils and simplifies to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16a%5E2b%5E2-8ab%2B1 ALIGN=MIDDLE  ALT=\"16a%5E2b%5E2-8ab%2B1\"   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=%284ab-1%29%284ab-1%29=16a%5E2b%5E2-8ab%2B1 ALIGN=MIDDLE  ALT=\"%284ab-1%29%284ab-1%29=16a%5E2b%5E2-8ab%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "note: there is another way to do this problem, but I'm not sure if your math class has covered it or not. </SPAN>\n" );
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