document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178214>Question 178214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After fully simpifying the expression\r<BR>\n" );
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document.write( " 2*x^2+7*x+3 over x^2+3*x-4  divided by x^2+7*x+12 over 2*x^2-3*x+1\r<BR>\n" );
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document.write( "The numerator is (2*x+1)*(2*x-1)<BR>\n" );
document.write( "The denominator is \r<BR>\n" );
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document.write( "Remember to invert and multiply, factor and cancel\r<BR>\n" );
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document.write( "Ok, I can get the numberator, but I am not sure how to get the denominator, any help with is problem will be greatly appreciated.  Thank you. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133181 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=133181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac {\frac {2x^2 + 7x + 3}{x^2 + 3x - 4}}{\frac {x^2 + 7x + 12}{2x^2 - 3x + 1}}\">\r<BR>\n" );
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document.write( "First thing is to factor each of the polynomial expressions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x^2 + 7x + 3 = (2x + 1)(x + 3)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^2 + 3x - 4 = (x + 4)(x - 1) \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^2 + 7x + 12 = (x + 3)(x + 4) \">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2x^2 - 3x + 1 = (2x - 1)(x - 1) \">\r<BR>\n" );
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document.write( "So the expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac {\frac { (2x + 1)(x + 3) }{ (x + 4)(x - 1) }}{\frac { (x + 3)(x + 4) }{ (2x - 1)(x - 1) }}\">\r<BR>\n" );
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document.write( "Now invert and multiply:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\frac { (2x + 1)(x + 3) }{ (x + 4)(x - 1) }\right) \left({\frac { (2x - 1)(x - 1) }{  (x + 3)(x + 4) } \right) = \frac { (2x + 1)(x + 3) (2x - 1)(x - 1)}{ (x + 4)(x - 1)(x + 3)(x + 4) } \">\r<BR>\n" );
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document.write( "Eliminate factors common to both numerator and denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac { (2x + 1)(2x - 1)  }{ (x + 4) (x + 4)} \">\r<BR>\n" );
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document.write( "The numerator binomials are a conjugate pair, so the product is the difference of 2 squares, and the product of the denominator can be found by applying FOIL:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac { 4x^2 - 1  }{ x^2 + 8x + 16 } \">\r<BR>\n" );
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