document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166667>Question 166667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me express the following rational expressions in lowest terms.\r<BR>\n" );
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document.write( "1) y^2-y-12/y^2-9\r<BR>\n" );
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document.write( "2) 3x^2-6x-72/2x^2-8x-64\r<BR>\n" );
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document.write( "i am totally lost. any help would be great. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122839 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=122839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key to these type of problems is factoring.\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2-y-12%29%2F%28y%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-y-12%29%2F%28y%5E2-9%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=%28%28y%2B3%29%28y-4%29%29%2F%28y%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28%28y%2B3%29%28y-4%29%29%2F%28y%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-y-12 ALIGN=MIDDLE  ALT=\"y%5E2-y-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B3%29%2A%28y-4%29 ALIGN=MIDDLE  ALT=\"%28y%2B3%29%2A%28y-4%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%28y%2B3%29%28y-4%29%29%2F%28%28y-3%29%28y%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2B3%29%28y-4%29%29%2F%28%28y-3%29%28y%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-9 ALIGN=MIDDLE  ALT=\"y%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%2A%28y%2B3%29 ALIGN=MIDDLE  ALT=\"%28y-3%29%2A%28y%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=%28highlight%28%28y%2B3%29%29%28y-4%29%29%2F%28%28y-3%29highlight%28%28y%2B3%29%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%28%28y%2B3%29%29%28y-4%29%29%2F%28%28y-3%29highlight%28%28y%2B3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28y%2B3%29%29%28y-4%29%29%2F%28%28y-3%29cross%28%28y%2B3%29%29%29 ALIGN=MIDDLE  ALT=\"%28cross%28%28y%2B3%29%29%28y-4%29%29%2F%28%28y-3%29cross%28%28y%2B3%29%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=%28y-4%29%2F%28y-3%29 ALIGN=MIDDLE  ALT=\"%28y-4%29%2F%28y-3%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=%28y%5E2-y-12%29%2F%28y%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-y-12%29%2F%28y%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-4%29%2F%28y-3%29 ALIGN=MIDDLE  ALT=\"%28y-4%29%2F%28y-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2-y-12%29%2F%28y%5E2-9%29=%28%28y-4%29%29%2F%28%28y-3%29%29 ALIGN=MIDDLE  ALT=\"%28y%5E2-y-12%29%2F%28y%5E2-9%29=%28%28y-4%29%29%2F%28%28y-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E3 ALIGN=MIDDLE  ALT=\"y%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C%3E-3 ALIGN=MIDDLE  ALT=\"y%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29 ALIGN=MIDDLE  ALT=\"%283x%5E2-6x-72%29%2F%282x%5E2-8x-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=%283%28x%2B4%29%28x-6%29%29%2F%282x%5E2-8x-64%29 ALIGN=MIDDLE  ALT=\"%283%28x%2B4%29%28x-6%29%29%2F%282x%5E2-8x-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-6x-72 ALIGN=MIDDLE  ALT=\"3x%5E2-6x-72\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%28x%2B4%29%2A%28x-6%29 ALIGN=MIDDLE  ALT=\"3%2A%28x%2B4%29%2A%28x-6%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=%283%28x%2B4%29%28x-6%29%29%2F%282%28x%2B4%29%28x-8%29%29 ALIGN=MIDDLE  ALT=\"%283%28x%2B4%29%28x-6%29%29%2F%282%28x%2B4%29%28x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-8x-64 ALIGN=MIDDLE  ALT=\"2x%5E2-8x-64\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28x%2B4%29%2A%28x-8%29 ALIGN=MIDDLE  ALT=\"2%2A%28x%2B4%29%2A%28x-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=%28%283%29highlight%28%28x%2B4%29%29%28x-6%29%29%2F%28%282%29highlight%28%28x%2B4%29%29%28x-8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%29cross%28%28x%2B4%29%29%28x-6%29%29%2F%28%282%29cross%28%28x%2B4%29%29%28x-8%29%29 ALIGN=MIDDLE  ALT=\"%28%283%29cross%28%28x%2B4%29%29%28x-6%29%29%2F%28%282%29cross%28%28x%2B4%29%29%28x-8%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=%283%28x-6%29%29%2F%282%28x-8%29%29 ALIGN=MIDDLE  ALT=\"%283%28x-6%29%29%2F%282%28x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-18%29%2F%282x-16%29 ALIGN=MIDDLE  ALT=\"%283x-18%29%2F%282x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29 ALIGN=MIDDLE  ALT=\"%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x-18%29%2F%282x-16%29 ALIGN=MIDDLE  ALT=\"%283x-18%29%2F%282x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29=%283x-18%29%2F%282x-16%29 ALIGN=MIDDLE  ALT=\"%283x%5E2-6x-72%29%2F%282x%5E2-8x-64%29=%283x-18%29%2F%282x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-4 ALIGN=MIDDLE  ALT=\"x%3C%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E8 ALIGN=MIDDLE  ALT=\"x%3C%3E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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