document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=456742>Question 456742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 225c^2+810cp+729p^2 factor </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #313423 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=313423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 225c^2\ +\ 810cp\ +\ 729p^2\">\r<BR>\n" );
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document.write( "First note that each of the three coefficients are divisible by 9. You can tell because the sum of the digits on each one is a number divisible by 9.\r<BR>\n" );
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document.write( "So, factor out a 9.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 9(25c^2\ +\ 90cp\ +\ 81p^2)\">\r<BR>\n" );
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document.write( "Now compare the trinomial factor to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (ax\ +\ by)^2\ =\ (ax)^2\ +\ 2abxy\ +\ (by)^2\">\r<BR>\n" );
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document.write( "and see if you can figure out how to factor the remaining trinomial part.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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