document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189866>Question 189866</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a tough one. Please help.<BR>\n" );
document.write( "Reduce the following expression to the lowest terms.<BR>\n" );
document.write( "5w^2-25w-12 / w^2+6w+9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142516 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=142516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Since the factorization of the numerator polynomial is not obvious, use the quadratic formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ w = \frac{-b \pm sqrt{b^2 - 4ac}}{2a} = \frac{-(-25) \pm sqrt{(-25)^2 - 4(5)(-12)}}{2(5)} = \frac{25 \pm sqrt{865}}{10}\">\r<BR>\n" );
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document.write( "Hence, the factors are irrational.\r<BR>\n" );
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document.write( "The denominator is a perfect square:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ w^2 + 6w + 9 = (w + 3)^2\">\r<BR>\n" );
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document.write( "Hence, the numerator and denominator have no factors in common and the rational expression is therefore already reduced to lowest terms.\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" );
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