document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045495>Question 1045495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show the following:\r<BR>\n" );
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document.write( "(1+2nC1 + 2nC2 +2nC3 +...+ 2nC(2n-1) + 2nC2n)^2 = 16^n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661067 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661067\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is enough to show that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C2n%2C0%29%29%2B%28matrix%282%2C1%2C2n%2C1%29%29%2B%28matrix%282%2C1%2C2n%2C2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >+...+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C2n%2C2n%29%29+=+4%5En ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C2n%2C2n%29%29+=+4%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Why?)\r<BR>\n" );
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document.write( "It is known that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bx%29%5E%282n%29+=1%2B%28matrix%282%2C1%2C2n%2C1%29%29%2Ax%2B%28matrix%282%2C1%2C2n%2C2%29%29%2Ax%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >+...+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C2n%2C2n%29%29%2Ax%5E%282n%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C2n%2C2n%29%29%2Ax%5E%282n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Letting x = 1, get directly\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B1%29%5E%282n%29+=+2%5E%282n%29+=+4%5En+=+1%2B%28matrix%282%2C1%2C2n%2C1%29%29%2B%28matrix%282%2C1%2C2n%2C2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >+...+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C2n%2C2n%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C2n%2C2n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "And that's it... </SPAN>\n" );
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