document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111373>Question 111373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-11)/(x^2-9) - (x-7)/x^2-3x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81193 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=81193\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-11%29%2F%28x%5E2-9%29+-+%28x-7%29%2F%28x%5E2-3x%29 ALIGN=MIDDLE  ALT=\"%28x-11%29%2F%28x%5E2-9%29+-+%28x-7%29%2F%28x%5E2-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%5E2-3x%29 ALIGN=MIDDLE  ALT=\"%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%5E2-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator\r<BR>\n" );
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document.write( "So in order to combine these fractions, we need the LCD. So to find the LCD, simply pull out the unique factors x, x+3, and x-3 to get the LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"x%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we want our denominators to get to this term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Fx%29%28%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29%29+-+%28x-7%29%2F%28x%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Fx%29%28%28x-11%29%2F%28%28x%2B3%29%28x-3%29%29%29+-+%28x-7%29%2F%28x%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fx ALIGN=MIDDLE  ALT=\"x%2Fx\"   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%5E2-11x%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-11x%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28x-7%29%2F%28x%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-11x%29%2F%28%28x%2B3%29%28x-3%29%29+-+%28%28x%2B3%29%2F%28x%2B3%29%29%28%28x-7%29%2F%28x%28x-3%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the second fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2F%28x%2B3%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%5E2-11x%29%2F%28x%28x%2B3%29%28x-3%29%29+-+%28x%5E2-4x-21%29%2F%28x%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Foil and multiply\r<BR>\n" );
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document.write( "Since we now have a common denominator of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B3%29%28x-3%29 ALIGN=MIDDLE  ALT=\"x%28x%2B3%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-11x-+%28x%5E2-4x-21%29%29%2F%28x%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-11x-+%28x%5E2-4x-21%29%29%2F%28x%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-11x-+x%5E2%2B4x%2B21%29%2F%28x%28x%2B3%29%28x-3%29%29+ ALIGN=MIDDLE  ALT=\"%28x%5E2-11x-+x%5E2%2B4x%2B21%29%2F%28x%28x%2B3%29%28x-3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7x%2B21%29%2F%28x%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"%28-7x%2B21%29%2F%28x%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%28x-3%29%2F%28x%28x%2B3%29%28x-3%29%29 ALIGN=MIDDLE  ALT=\"-7%28x-3%29%2F%28x%28x%2B3%29%28x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out -7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2Across%28%28x-3%29%29%2F%28x%28x%2B3%29cross%28%28x-3%29%29%29 ALIGN=MIDDLE  ALT=\"-7%2Across%28%28x-3%29%29%2F%28x%28x%2B3%29cross%28%28x-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F%28x%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"-7%2F%28x%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-11%29%2F%28x%5E2-9%29+-+%28x-7%29%2F%28x%5E2-3x%29 ALIGN=MIDDLE  ALT=\"%28x-11%29%2F%28x%5E2-9%29+-+%28x-7%29%2F%28x%5E2-3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F%28x%28x%2B3%29%29+ ALIGN=MIDDLE  ALT=\"-7%2F%28x%28x%2B3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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