document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697108>Question 697108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello<BR>\n" );
document.write( "Please help me dividing these polynomials <BR>\n" );
document.write( "(a^3+b^3+c^3-3abc)/(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 #429701 by </B><A HREF=/tutors/aboutme.mpl?userid=god2012><B>god2012(113)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=god2012><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=god2012><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given : (a^3+b^3+c^3-3abc)/(a+b+c)\r<BR>\n" );
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document.write( "(a^3+b^3+c^3-3abc) can be written as (a+b+c)(a^2+b^2+c^2-(ab+bc+ac))\r<BR>\n" );
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document.write( "Therefore : (a^3+b^3+c^3-3abc)/(a+b+c) = (a^2+b^2+c^2-(ab+bc+ac))\r<BR>\n" );
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document.write( "Method 2 :  a+b+c )a^3+b^3+c^3-3abc(a^2+b^2+c^2-ab-bc-ac<BR>\n" );
document.write( "                   a^3+a^2b+a^2c              subtract<BR>\n" );
document.write( "                 --------------------------<BR>\n" );
document.write( "                   b^3+c^3-a^2b-a^2c-3abc<BR>\n" );
document.write( "                   b^3+ab^2+cb^2               subtract<BR>\n" );
document.write( "                 --------------------------<BR>\n" );
document.write( "                   c^3-a^2b-ab^2-a^2c-cb^2-3abc<BR>\n" );
document.write( "                   c^3+c^2b+c^2a                subtract<BR>\n" );
document.write( "                 ---------------------------<BR>\n" );
document.write( "                  -a^2b-ab^2-a^2c-cb^2-3abc-c^2b-c^2a<BR>\n" );
document.write( "                  -a^2b-ab^2-abc                subtract<BR>\n" );
document.write( "                 ---------------------------<BR>\n" );
document.write( "                  -a^2c-cb^2-2abc-c^2b-c^2a <BR>\n" );
document.write( "                  -abc -b^2c-bc^2                subtract<BR>\n" );
document.write( "                 --------------------------- <BR>\n" );
document.write( "                  -a^2c-abc+ca^2        <BR>\n" );
document.write( "                 - a^2c-abc-ac^2                  subtract<BR>\n" );
document.write( "                 ---------------------------<BR>\n" );
document.write( "                    0\r<BR>\n" );
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document.write( "Quotient = a^2+b^2+c^2-ab-bc-ac\r<BR>\n" );
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document.write( "                   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );