document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=582737>Question 582737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1-&#8730;5)(1+&#8730;5) show work (:  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372209 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=372209\">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=%281-sqrt%285%29%29%281%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%281-sqrt%285%29%29%281%2Bsqrt%285%29%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%281%29-sqrt%285%29%29%28highlight%281%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%281%29-sqrt%285%29%29%28highlight%281%29%2Bsqrt%285%29%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=%281%29%2A%281%29=1 ALIGN=MIDDLE  ALT=\"%281%29%2A%281%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=%28highlight%281%29-sqrt%285%29%29%281%2Bhighlight%28sqrt%285%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%281%29-sqrt%285%29%29%281%2Bhighlight%28sqrt%285%29%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=%281%29%2A%28sqrt%285%29%29=sqrt%285%29 ALIGN=MIDDLE  ALT=\"%281%29%2A%28sqrt%285%29%29=sqrt%285%29\"   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=%281%2Bhighlight%28-sqrt%285%29%29%29%28highlight%281%29%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%281%2Bhighlight%28-sqrt%285%29%29%29%28highlight%281%29%2Bsqrt%285%29%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-sqrt%285%29%29%2A%281%29=-sqrt%285%29 ALIGN=MIDDLE  ALT=\"%28-sqrt%285%29%29%2A%281%29=-sqrt%285%29\"   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=%281%2Bhighlight%28-sqrt%285%29%29%29%281%2Bhighlight%28sqrt%285%29%29%29 ALIGN=MIDDLE  ALT=\"%281%2Bhighlight%28-sqrt%285%29%29%29%281%2Bhighlight%28sqrt%285%29%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-sqrt%285%29%29%2A%28sqrt%285%29%29=-%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28-sqrt%285%29%29%2A%28sqrt%285%29%29=-%28sqrt%285%29%29%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=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%285%29 ALIGN=MIDDLE  ALT=\"-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"-%28sqrt%285%29%29%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=1%2Bsqrt%285%29-sqrt%285%29-%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"1%2Bsqrt%285%29-sqrt%285%29-%28sqrt%285%29%29%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=1-%28sqrt%285%29%29%5E2 ALIGN=MIDDLE  ALT=\"1-%28sqrt%285%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-5 ALIGN=MIDDLE  ALT=\"1-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 5.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-sqrt%285%29%29%281%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%281-sqrt%285%29%29%281%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs and simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   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=%281-sqrt%285%29%29%281%2Bsqrt%285%29%29=-4 ALIGN=MIDDLE  ALT=\"%281-sqrt%285%29%29%281%2Bsqrt%285%29%29=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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