document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146716>Question 146716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply:<BR>\n" );
document.write( "(8sqrt[6] + 3sqrt[2])(4sqrt[6] – 5sqrt[2])<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107145 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=107145\">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=%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%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%288%2Asqrt%286%29+%29%2B+3%2Asqrt%282%29%29%28highlight%284%2Asqrt%286%29+%29-+5%2Asqrt%282%29%29 ALIGN=MIDDLE   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=%288%2Asqrt%286%29+%29%2A%284%2Asqrt%286%29+%29=192 ALIGN=MIDDLE  ALT=\"%288%2Asqrt%286%29+%29%2A%284%2Asqrt%286%29+%29=192\"   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%288%2Asqrt%286%29+%29%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+%2Bhighlight%28-+5%2Asqrt%282%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=%288%2Asqrt%286%29+%29%2A%28-+5%2Asqrt%282%29%29=-40sqrt%2812%29=-80sqrt%283%29 ALIGN=MIDDLE  ALT=\"%288%2Asqrt%286%29+%29%2A%28-+5%2Asqrt%282%29%29=-40sqrt%2812%29=-80sqrt%283%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=%288%2Asqrt%286%29+%2Bhighlight%28+3%2Asqrt%282%29%29%29%28highlight%284%2Asqrt%286%29+%29-+5%2Asqrt%282%29%29 ALIGN=MIDDLE   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+3%2Asqrt%282%29%29%2A%284%2Asqrt%286%29+%29=12sqrt%2812%29=24sqrt%283%29 ALIGN=MIDDLE  ALT=\"%28+3%2Asqrt%282%29%29%2A%284%2Asqrt%286%29+%29=12sqrt%2812%29=24sqrt%283%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=%288%2Asqrt%286%29+%2Bhighlight%28+3%2Asqrt%282%29%29%29%284%2Asqrt%286%29+%2Bhighlight%28-+5%2Asqrt%282%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=%28+3%2Asqrt%282%29%29%2A%28-+5%2Asqrt%282%29%29=-30 ALIGN=MIDDLE  ALT=\"%28+3%2Asqrt%282%29%29%2A%28-+5%2Asqrt%282%29%29=-30\"   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=192-80sqrt%283%29%2B24sqrt%283%29-30 ALIGN=MIDDLE  ALT=\"192-80sqrt%283%29%2B24sqrt%283%29-30\"   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=162-56sqrt%283%29 ALIGN=MIDDLE  ALT=\"162-56sqrt%283%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=%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILS to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162-56sqrt%283%29 ALIGN=MIDDLE  ALT=\"162-56sqrt%283%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=%288%2Asqrt%286%29+%2B+3%2Asqrt%282%29%29%284%2Asqrt%286%29+-+5%2Asqrt%282%29%29=162-56sqrt%283%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );