document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236472>Question 236472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: (t^2 + t - 6) / (t^2 - 7t + 10)\r<BR>\n" );
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document.write( "A question at De La Salle High School, New Orleans Mu Alpha Theta tournament. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #174044 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=174044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%29 ALIGN=MIDDLE  ALT=\"%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%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%28t%2B3%29%28t-2%29%29%2F%28t%5E2-7t%2B10%29 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%28t-2%29%29%2F%28t%5E2-7t%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2%2Bt-6 ALIGN=MIDDLE  ALT=\"t%5E2%2Bt-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B3%29%28t-2%29 ALIGN=MIDDLE  ALT=\"%28t%2B3%29%28t-2%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%28t%2B3%29%28t-2%29%29%2F%28%28t-2%29%2A%28t-5%29%29 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29%28t-2%29%29%2F%28%28t-2%29%2A%28t-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2-7t%2B10 ALIGN=MIDDLE  ALT=\"t%5E2-7t%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t-2%29%28t-5%29 ALIGN=MIDDLE  ALT=\"%28t-2%29%28t-5%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%28t%2B3%29highlight%28%28t-2%29%29%29%2F%28highlight%28%28t-2%29%29%28t-5%29%29 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29highlight%28%28t-2%29%29%29%2F%28highlight%28%28t-2%29%29%28t-5%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=%28%28t%2B3%29cross%28%28t-2%29%29%29%2F%28cross%28%28t-2%29%29%28t-5%29%29 ALIGN=MIDDLE  ALT=\"%28%28t%2B3%29cross%28%28t-2%29%29%29%2F%28cross%28%28t-2%29%29%28t-5%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=%28t%2B3%29%2F%28t-5%29 ALIGN=MIDDLE  ALT=\"%28t%2B3%29%2F%28t-5%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=%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%29 ALIGN=MIDDLE  ALT=\"%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28t%2B3%29%2F%28t-5%29 ALIGN=MIDDLE  ALT=\"%28t%2B3%29%2F%28t-5%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=%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%29=%28t%2B3%29%2F%28t-5%29 ALIGN=MIDDLE  ALT=\"%28t%5E2%2Bt-6%29%2F%28t%5E2-7t%2B10%29=%28t%2B3%29%2F%28t-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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