document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316293>Question 316293</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (6z^2+36z+54)/(z^2-3z-18) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226210 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=226210\">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=%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%29 ALIGN=MIDDLE  ALT=\"%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%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=%286%28z%2B3%29%28z%2B3%29%29%2F%28z%5E2-3z-18%29 ALIGN=MIDDLE  ALT=\"%286%28z%2B3%29%28z%2B3%29%29%2F%28z%5E2-3z-18%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=%286%28z%2B3%29%28z%2B3%29%29%2F%28%28z-6%29%28z%2B3%29%29 ALIGN=MIDDLE  ALT=\"%286%28z%2B3%29%28z%2B3%29%29%2F%28%28z-6%29%28z%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%28z%2B3%29%2Ahighlight%28%28z%2B3%29%29%29%2F%28%28z-6%29%2Ahighlight%28%28z%2B3%29%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=%286%28z%2B3%29%2Across%28%28z%2B3%29%29%29%2F%28%28z-6%29%2Across%28%28z%2B3%29%29%29 ALIGN=MIDDLE  ALT=\"%286%28z%2B3%29%2Across%28%28z%2B3%29%29%29%2F%28%28z-6%29%2Across%28%28z%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=%286%28z%2B3%29%29%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"%286%28z%2B3%29%29%2F%28z-6%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=%286z%2B18%29%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"%286z%2B18%29%2F%28z-6%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=%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%29 ALIGN=MIDDLE  ALT=\"%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286z%2B18%29%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"%286z%2B18%29%2F%28z-6%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=%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%29=%286z%2B18%29%2F%28z-6%29 ALIGN=MIDDLE  ALT=\"%286z%5E2%2B36z%2B54%29%2F%28z%5E2-3z-18%29=%286z%2B18%29%2F%28z-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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