document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188424>Question 188424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tryin to understand how to solve this problem.\r<BR>\n" );
document.write( "\n" );
document.write( "For all r&#8800;+2\r<BR>\n" );
document.write( "\n" );
document.write( "             rˆ2-5r+6<BR>\n" );
document.write( "             ________<BR>\n" );
document.write( "             rˆ2-4<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 #141249 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=141249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's get your terminology correct for starters.  You can't really <i><b>solve</b></i> anything here because you don't have an equation -- there is no equals sign.  You can, however, attempt to simplify this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{rˆ2-5r+6}{r^2-4}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Factor both numerator and denominator polynomials:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{(r-2)(r-3)}{(r-2)(r+2)}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Eliminate the common factor:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{r-3}{r+2}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So you can now say:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{rˆ2-5r+6}{r^2-4} = \frac{r-3}{r+2} \ \ \forall\ r\ \in\ \R\, |\, r\,\neq\,2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So, why is there a restriction on the value of <i>r </i>?  You tell me.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );