document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49473>Question 49473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is the following trinomial a perfect square?<BR>\n" );
document.write( "	x2 + 18x + 81 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32846 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=32846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the following a perfect square? <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x%2B81 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B81\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Quite likely! Notice that the first term is a perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%28x%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2+=+%28x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the last term is a perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%5E2+=+81 ALIGN=MIDDLE  ALT=\"%289%29%5E2+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the sum of 9+9 = 18 which is the coefficient of the x-term. So, if you factor the given expression, you'll get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%28x%2B9%29+=+%28x%2B9%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%28x%2B9%29+=+%28x%2B9%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > A perfect square! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );