document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133103>Question 133103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform the indicated operations and simplify.\r<BR>\n" );
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document.write( "x-4/x-8 - x+1/x+8 + x-72/x^2 -64\r<BR>\n" );
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document.write( "These should look like 3 fractions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97374 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=97374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%2F%28x-8%29+-+%28x%2B1%29%2F%28x%2B8%29+%2B+%28x-72%29%2F%28x%5E2+-64%29+ ALIGN=MIDDLE  ALT=\"%28x-4%29%2F%28x-8%29+-+%28x%2B1%29%2F%28x%2B8%29+%2B+%28x-72%29%2F%28x%5E2+-64%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simply:<BR>\n" );
document.write( "In order to combine the three terms, you need to have a common denominator. In this case, the least common denominator is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+-64%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So multiply the first term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B8%29%2F%28x%2B8%29 ALIGN=MIDDLE  ALT=\"%28x%2B8%29%2F%28x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the second term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-8%29%2F%28x-8%29+ ALIGN=MIDDLE  ALT=\"%28x-8%29%2F%28x-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (note both values are equal to 1.\r<BR>\n" );
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document.write( "This yields:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B8%29%2F%28x-8%29%28x%2B8%29+-+%28x%2B1%29%28x-8%29%2F%28x%2B8%29%28x-8%29+%2B+%28x-72%29%2F%28x%5E2+-64%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now multiply out (expand) the numeratiors to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2+%2B+4x+-32%29+-+%28x%5E2+-7x+-8%29+%2B%28x-72%29%29%2F%28%28x-8%29%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2+%2B+4x+-32%29+-+%28x%5E2+-7x+-8%29+%2B%28x-72%29%29%2F%28%28x-8%29%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Collect terms in the numerator to get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812x+-96%29%2F%28%28x-8%29%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"%2812x+-96%29%2F%28%28x-8%29%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%28x+-8%29%29%2F%28%28x-8%29%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"%2812%28x+-8%29%29%2F%28%28x-8%29%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%29%2F%28%28x%2B8%29%29 ALIGN=MIDDLE  ALT=\"%2812%29%2F%28%28x%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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