document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572396>Question 572396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify (solve if possible).\r<BR>\n" );
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document.write( "     (x-2)               (x)<BR>\n" );
document.write( "    --------    +       --------<BR>\n" );
document.write( "   (x^2+x-12)         (x^2-2x-3)\r<BR>\n" );
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document.write( "the x-2 is over the x^2+x-12 <BR>\n" );
document.write( "the symbol is a \"+\" for addition<BR>\n" );
document.write( "the x is over the x^2-2x-3<BR>\n" );
document.write( "thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368627 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-2)/(x^2+x-12)+x/(x^2-2x-3)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<BR>\n" );
document.write( "I would factor denominators first and see what I can use for a common denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%5E2%2Bx-12%29%2Bx%2F%28x%5E2-2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28%28x%2B4%29%28x-3%29%29%2Bx%2F%28%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28%28x%2B4%29%28x-3%29%29%2Bx%2F%28%28x-3%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B1%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29%2Bx%28x%2B4%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then I would work on the numerator parts leaving the denominators alone (and hoping to be able to simplify the result).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B1%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29%2Bx%28x%2B4%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29%2B%28x%5E2%2B4x%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can factor the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2B3x-2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%28x%2B2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%282x-1%29%28x%2B2%29%2F%28%28x%2B4%29%28x-3%29%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Nothing cancels out, so I'll call it fully simplified. </SPAN>\n" );
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