document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443172>Question 443172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a^3 b^3 c^3=3abc show that either a b c=0 or a=b=c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305712 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305712\">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=%28abc%29%5E3+-+3abc+=+0 ALIGN=MIDDLE  ALT=\"%28abc%29%5E3+-+3abc+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc%28%28abc%29%5E2+-+3%29=+0 ALIGN=MIDDLE  ALT=\"abc%28%28abc%29%5E2+-+3%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then we have abc = 0 <BR>\n" );
document.write( "or  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abc%29%5E2+=+3 ALIGN=MIDDLE  ALT=\"%28abc%29%5E2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abc%29+=+sqrt%283%29 ALIGN=MIDDLE  ALT=\"%28abc%29+=+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Suppose a = b = c\r<BR>\n" );
document.write( "\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E3+=+sqrt%283%29 ALIGN=MIDDLE  ALT=\"+a%5E3+=+sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+root%283%2Csqrt%283%29%29 ALIGN=MIDDLE  ALT=\"+a+=+root%283%2Csqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <BR>\n" );
document.write( "Plug this back in for a=b=c\r<BR>\n" );
document.write( "\n" );
document.write( "and you get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Csqrt%283%29%29%5E3+%2A+root%283%2Csqrt%283%29%29%5E3+%2A+root%283%2Csqrt%283%29%29%5E3+=+3%2Aroot%283%2Csqrt%283%29%29%5E3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29+%2A+sqrt%283%29+%2A+sqrt%283%29+=+3sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29+%2A+sqrt%283%29+%2A+sqrt%283%29+=+3sqrt%283%29\"   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%283%29+=+3%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%283%29+=+3%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Check.\r<BR>\n" );
document.write( "\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abc+=0 ALIGN=MIDDLE  ALT=\"abc+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b=c=root%283%2Csqrt%283%29%29 ALIGN=MIDDLE  ALT=\"a=b=c=root%283%2Csqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );