document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347966>Question 347966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is z-1/z-8 - z+1/z+8 + z-120/z^2-64 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248775 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=248775\">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=%28z-1%29%2F%28z-8%29+-+%28z%2B1%29%2F%28z%2B8%29+%2B+%28z-120%29%2F%28z%5E2-64%29 ALIGN=MIDDLE  ALT=\"%28z-1%29%2F%28z-8%29+-+%28z%2B1%29%2F%28z%2B8%29+%2B+%28z-120%29%2F%28z%5E2-64%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=%28z-1%29%2F%28z-8%29+-+%28z%2B1%29%2F%28z%2B8%29+%2B+%28z-120%29%2F%28%28z-8%29%28z%2B8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the last denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28z-1%29%28z%2B8%29%29%2F%28%28z-8%29%28z%2B8%29%29+-+%28z%2B1%29%2F%28z%2B8%29+%2B+%28z-120%29%2F%28%28z-8%29%28z%2B8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%2B8%29%2F%28z%2B8%29 ALIGN=MIDDLE  ALT=\"%28z%2B8%29%2F%28z%2B8%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%28z-1%29%28z%2B8%29%29%2F%28%28z-8%29%28z%2B8%29%29+-+%28%28z%2B1%29%28z-8%29%29%2F%28%28z-8%29%28z%2B8%29%29+%2B+%28z-120%29%2F%28%28z-8%29%28z%2B8%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=%28z-8%29%2F%28z-8%29 ALIGN=MIDDLE  ALT=\"%28z-8%29%2F%28z-8%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=%28z%5E2%2B7z-8%29%2F%28z%5E2-64%29+-+%28z%5E2-7z-8%29%2F%28z%5E2-64%29+%2B+%28z-120%29%2F%28z%5E2-64%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E2%2B7z-8-+%28z%5E2-7z-8%29%2Bz-120%29%2F%28z%5E2-64%29 ALIGN=MIDDLE  ALT=\"%28z%5E2%2B7z-8-+%28z%5E2-7z-8%29%2Bz-120%29%2F%28z%5E2-64%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=%28z%5E2%2B7z-8-+z%5E2%2B7z%2B8%2Bz-120%29%2F%28z%5E2-64%29 ALIGN=MIDDLE  ALT=\"%28z%5E2%2B7z-8-+z%5E2%2B7z%2B8%2Bz-120%29%2F%28z%5E2-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815z-120%29%2F%28z%5E2-64%29 ALIGN=MIDDLE  ALT=\"%2815z-120%29%2F%28z%5E2-64%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=%2815%28z-8%29%29%2F%28z%5E2-64%29 ALIGN=MIDDLE  ALT=\"%2815%28z-8%29%29%2F%28z%5E2-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%28z-8%29%29%2F%28%28z-8%29%28z%2B8%29%29 ALIGN=MIDDLE  ALT=\"%2815%28z-8%29%29%2F%28%28z-8%29%28z%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2Across%28%28z-8%29%29%29%2F%28cross%28%28z-8%29%29%28z%2B8%29%29 ALIGN=MIDDLE  ALT=\"%2815%2Across%28%28z-8%29%29%29%2F%28cross%28%28z-8%29%29%28z%2B8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F%28z%2B8%29 ALIGN=MIDDLE  ALT=\"15%2F%28z%2B8%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=%28z-1%29%2F%28z-8%29+-+%28z%2B1%29%2F%28z%2B8%29+%2B+%28z-120%29%2F%28z%5E2-64%29=15%2F%28z%2B8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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