document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=344657>Question 344657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify\r<BR>\n" );
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document.write( "x-3/x-4 - x-1/x+4 + x-12/x^2-16 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #246603 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=246603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify\r<BR>\n" );
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document.write( "x-3/x-4 - x-1/x+4 + x-12/x^2-16\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+3%29%2F%28x+-+4%29+-+%28x+-+1%29%2F%28x+%2B+4%29+%2B+%28x+-+12%29%2F%28x%5E2+-+16%29 ALIGN=MIDDLE  ALT=\"%28x+-+3%29%2F%28x+-+4%29+-+%28x+-+1%29%2F%28x+%2B+4%29+%2B+%28x+-+12%29%2F%28x%5E2+-+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x+-+3%29%28x+%2B+4%29+-+%28x+-+1%29%28x+-+4%29+%2B+%28x+-+12%29%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Multiplying expression by LCD, (x - 4)(x + 4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+x+-+12+-+%28x%5E2+-+5x+%2B+4%29+%2B+x+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+x+-+12+-+%28x%5E2+-+5x+%2B+4%29+%2B+x+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Expanding numerator of expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+x+-+12+-+x%5E2+%2B+5x+-+4+%2B+x+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+x+-+12+-+x%5E2+%2B+5x+-+4+%2B+x+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-+x%5E2+%2B+x+%2B+5x+%2B+x+-+12+-+4+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-+x%5E2+%2B+x+%2B+5x+%2B+x+-+12+-+4+-+12%29%2F%28%28x+-+4%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Collecting like-terms in numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x+-+28%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%287x+-+28%29%2F%28%28x+-+4%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Combining like-terms in numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%28x+-+4%29%29%2F%28%28x+-+4%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%287%28x+-+4%29%29%2F%28%28x+-+4%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Factoring numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287cross%28%28x+-+4%29%29%29%2F%28cross%28%28x+-+4%29%29%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"%287cross%28%28x+-+4%29%29%29%2F%28cross%28%28x+-+4%29%29%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Canceling like-terms in numerator and denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287%2F%28x+%2B+4%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%287%2F%28x+%2B+4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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