document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352223>Question 352223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply\r<BR>\n" );
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document.write( "(3*SQRT(2)-9*SQRT(6))*(5SQRT(2)+15*SQRT(6)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251721 by </B><A HREF=/tutors/aboutme.mpl?userid=sofiyac><B>sofiyac(983)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sofiyac><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/cgi-bin/show-face.mpl?user=sofiyac><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251721\">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=%283%2Asqrt%282%29-9%2Asqrt%286%29%29%2A%285%2Asqrt%282%29%2B15%2Asqrt%286%29%29 ALIGN=MIDDLE  ALT=\"%283%2Asqrt%282%29-9%2Asqrt%286%29%29%2A%285%2Asqrt%282%29%2B15%2Asqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ok, in order to simplify this problem we use distributive property<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a-b%29%28c%2Bd%29=ac%2Bad-bc-bd ALIGN=MIDDLE  ALT=\"%28a-b%29%28c%2Bd%29=ac%2Bad-bc-bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%282%29%2A5%2Asqrt%282%29%2B3%2Asqrt%282%29%2A15%2Asqrt%286%29-9%2Asqrt%286%29%2A5%2Asqrt%282%29-9%2Asqrt%286%29%2A15%2Asqrt%286%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > now you simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Asqrt%282%29%2Asqrt%282%29%2B45%2Asqrt%282%29%2Asqrt%286%29-45%2Asqrt%286%29%2Asqrt%282%29-135%2Asqrt%286%29%2Asqrt%286%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplify further, for example <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Asqrt%282%29=sqrt%282%2A2%29=sqrt%284%29=2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Asqrt%282%29=sqrt%282%2A2%29=sqrt%284%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A2%2B45%2Asqrt%2812%29-45%2Asqrt%2812%29-135%2A6%29 ALIGN=MIDDLE  ALT=\"15%2A2%2B45%2Asqrt%2812%29-45%2Asqrt%2812%29-135%2A6%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=30%2B45%2Asqrt%2812%29-45%2Asqrt%2812%29-810%29 ALIGN=MIDDLE  ALT=\"30%2B45%2Asqrt%2812%29-45%2Asqrt%2812%29-810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Notice that the two terms in the middle are the same with opposite signs so they add to zero, thus you get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30-810=-780 ALIGN=MIDDLE  ALT=\"30-810=-780\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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