document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251658>Question 251658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A number n is 1 plus the sum of the squares of three consecutive odd integers. what is the largest integer factor of all such numbers n? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183333 by </B><A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><B>vksarvepalli(154)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><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=vksarvepalli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the 3 consecutive odd no.s be 2t-1, 2t+1, 2t+3\r<BR>\n" );
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document.write( "so n= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B%282t-1%29%5E2%2B%282t%2B1%29%5E2%2B%282t%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"1%2B%282t-1%29%5E2%2B%282t%2B1%29%5E2%2B%282t%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "expanding the terms and simplifying we get \r<BR>\n" );
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document.write( "n=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28t%5E2%2Bt%2B1%29 ALIGN=MIDDLE  ALT=\"12%28t%5E2%2Bt%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so the largest common factor of all such no.s n is 12.\r<BR>\n" );
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document.write( "ans: 12 </SPAN>\n" );
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