document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178416>Question 178416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply:\r<BR>\n" );
document.write( "\n" );
document.write( "(5sqrt[3]+sqrt[5])(sqrt[3]-2sqrt[5])\r<BR>\n" );
document.write( "\n" );
document.write( "thanks;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133381 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=133381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now let's FOIL the expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%285sqrt%283%29%29%2Bsqrt%285%29%29%28highlight%28sqrt%283%29%29-2sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%285sqrt%283%29%29%2Bsqrt%285%29%29%28highlight%28sqrt%283%29%29-2sqrt%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=%285%2Asqrt%283%29%29%2A%28sqrt%283%29%29=5%2Asqrt%283%2A3%29=5%2A3=15 ALIGN=MIDDLE  ALT=\"%285%2Asqrt%283%29%29%2A%28sqrt%283%29%29=5%2Asqrt%283%2A3%29=5%2A3=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%285sqrt%283%29%29%2Bsqrt%285%29%29%28sqrt%283%29%2Bhighlight%28-2sqrt%285%29%29%29 ALIGN=MIDDLE   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%2Asqrt%283%29%29%2A%28-2%2Asqrt%285%29%29=5%28-2%29%2Asqrt%283%2A5%29=-10%2Asqrt%2815%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28highlight%28sqrt%283%29%29-2sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28highlight%28sqrt%283%29%29-2sqrt%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=%28sqrt%285%29%29%2A%28sqrt%283%29%29=sqrt%285%2A3%29=sqrt%2815%29 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28sqrt%283%29%29=sqrt%285%2A3%29=sqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285sqrt%283%29%2Bhighlight%28sqrt%285%29%29%29%28sqrt%283%29%2Bhighlight%28-2sqrt%285%29%29%29 ALIGN=MIDDLE   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=%28sqrt%285%29%29%2A%28-2%2Asqrt%285%29%29=-2%2Asqrt%285%2A5%29=-2%2A5=-10 ALIGN=MIDDLE  ALT=\"%28sqrt%285%29%29%2A%28-2%2Asqrt%285%29%29=-2%2Asqrt%285%2A5%29=-2%2A5=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15-10%2Asqrt%2815%29%2Bsqrt%2815%29-10 ALIGN=MIDDLE  ALT=\"15-10%2Asqrt%2815%29%2Bsqrt%2815%29-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term to make a single expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-9%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"5-9%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-9%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"5-9%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29=5-9%2Asqrt%2815%29 ALIGN=MIDDLE  ALT=\"%285sqrt%283%29%2Bsqrt%285%29%29%28sqrt%283%29-2sqrt%285%29%29=5-9%2Asqrt%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );