document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88520>Question 88520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: \r<BR>\n" );
document.write( "\n" );
document.write( "\frac{3x^2–26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2}<BR>\n" );
document.write( "         \r<BR>\n" );
document.write( "\n" );
document.write( "the final answer should be written as:<BR>\n" );
document.write( "   \frac{a}{x^2+bx+c}\r<BR>\n" );
document.write( "\n" );
document.write( "Here a,b and c are ordinary numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64370 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=64370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2}\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \left(\frac{(x-6)(x-4)}{(x-6)(x-4)}\right)\left(\frac{3}{x + 2}\right)\"> Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{(x-6)(x-4)}{(x-6)(x-4)}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \left(\frac{3(x-6)(x-4)}{(x-6)(x-4)(x + 2)}\right)\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \left(\frac{3(x^2-10x+24)}{(x-6)(x-4)(x + 2)}\right)\"> Foil\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \left(\frac{3x^2-30x+72}{(x-6)(x-4)(x + 2)}\right)\"> Distribute\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{(3x^2-26x+80)-(3x^2-30x+72)}{(x-6)(x-4)(x+2)}\"> Combine the fractions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80-3x^2+30x-72}{(x-6)(x-4)(x+2)}\"> Distribute the negative\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4x+8}{(x-6)(x-4)(x+2)}\"> Combine like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4(x+2)}{(x-6)(x-4)(x+2)}\"> Factor out a 4\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{(x-6)(x-4)}\"> Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{x^2-10x+24}\"> Foil the denominator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x^2-26x+80}{(x-6)(x-4)(x+2)} - \frac{3}{x + 2}\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplifies to\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{x^2-10x+24}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As always, you can verify by graphing the original and the simplified expressions to compare them </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );