document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382748>Question 382748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> pascal's triangle can be used as a shortcut to expand any binomial (a+b)^n<BR>\n" );
document.write( "n= 0 1 2 3 4...   <BR>\n" );
document.write( "     <BR>\n" );
document.write( "     1 <BR>\n" );
document.write( "    1 1<BR>\n" );
document.write( "   1 2 1<BR>\n" );
document.write( "  1 3 3 1<BR>\n" );
document.write( " 1 4 6 4 1 \r<BR>\n" );
document.write( "\n" );
document.write( "explain how this triangle works and expand. (2x+1)^6<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 #271174 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=271174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do two more rows<BR>\n" );
document.write( "1 <BR>\n" );
document.write( "1 1<BR>\n" );
document.write( "1 2 1<BR>\n" );
document.write( "1 3 3 1<BR>\n" );
document.write( "1 4 6 4 1 <BR>\n" );
document.write( "1 5 10 10 5 1<BR>\n" );
document.write( "1 6 15 20 15 6 1<BR>\n" );
document.write( "So then you have the coefficients, then get the terms,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%282x%29%5E5%281%29%5E%281%29=192x%5E5 ALIGN=MIDDLE  ALT=\"6%282x%29%5E5%281%29%5E%281%29=192x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%282x%29%5E3%281%29%5E%283%29=160x%5E3 ALIGN=MIDDLE  ALT=\"20%282x%29%5E3%281%29%5E%283%29=160x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%282x%29%5E2%281%29%5E%284%29=60x%5E2 ALIGN=MIDDLE  ALT=\"15%282x%29%5E2%281%29%5E%284%29=60x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%282x%29%5E1%281%29%5E%285%29=12x ALIGN=MIDDLE  ALT=\"6%282x%29%5E1%281%29%5E%285%29=12x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%282x%29%5E0%281%29%5E%286%29=1 ALIGN=MIDDLE  ALT=\"1%282x%29%5E0%281%29%5E%286%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E6+=64x%5E6%2B192x%5E5%2B240x%5E4%2B160x%5E3%2B60x%5E2%2B12x%2B1%0D%0A ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E6+=64x%5E6%2B192x%5E5%2B240x%5E4%2B160x%5E3%2B60x%5E2%2B12x%2B1%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );