document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107261>Question 107261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I submitted an easier problem and I see maybe if I submitted this one instead it would help me solve the easier one.  Help!!  I need to add or subtract as indicated and express the results in simplest form.\r<BR>\n" );
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document.write( "(-12)/(x^2+ x- 12) + (x^2)/(x+ 4)(x - 3) + (x)/<BR>\n" );
document.write( "(x^2 + x – 12)<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 #78059 by </B><A HREF=/tutors/aboutme.mpl?userid=Annabelle1><B>Annabelle1(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Annabelle1><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=78059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (-12)/(x^2+ x- 12) + (x^2)/(x+ 4)(x - 3) + (x)/<BR>\n" );
document.write( "(x^2 + x – 12)\r<BR>\n" );
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document.write( "the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-12 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > facroises to (x+4)(x-3)\r<BR>\n" );
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document.write( "our question becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F%28%28x%2B4%29%28x-3%29%29%2Bx%5E2%2F%28%28x%2B4%29%28x-3%29%29%2Bx%2F%28%28x%2B4%29%28x-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "All fractions have the same denominator so we add the numerators\r<BR>\n" );
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document.write( "we have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-12%2Bx%5E2%2Bx%29%2F%28%28x%2B4%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28-12%2Bx%5E2%2Bx%29%2F%28%28x%2B4%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-12+x^2+x = x^2+x-12 which factorises to (x+4)(x-3) again\r<BR>\n" );
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document.write( "we have <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B4%29%28x-3%29%29%2F%28%28x%2B4%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B4%29%28x-3%29%29%2F%28%28x%2B4%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=1 </SPAN>\n" );
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