document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296704>Question 296704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Reduce the rational expression to lowest terms.\r<BR>\n" );
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document.write( "      2x + 6 / 2x squared + 14x + 24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213766 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=213766\">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=%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%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=%282%28x+%2B+3%29%29%2F%282x%5E2+%2B+14x+%2B+24%29 ALIGN=MIDDLE  ALT=\"%282%28x+%2B+3%29%29%2F%282x%5E2+%2B+14x+%2B+24%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=%282%28x+%2B+3%29%29%2F%282%28x%2B3%29%28x%2B4%29%29 ALIGN=MIDDLE  ALT=\"%282%28x+%2B+3%29%29%2F%282%28x%2B3%29%28x%2B4%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=%28highlight%282%29%2Ahighlight%28%28x%2B3%29%29%29%2F%28highlight%282%29%2Ahighlight%28%28x%2B3%29%29%28x%2B4%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=%28cross%282%29%2Across%28%28x%2B3%29%29%29%2F%28cross%282%29%2Across%28%28x%2B3%29%29%28x%2B4%29%29 ALIGN=MIDDLE   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=1%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B4%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=%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B4%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=%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29=1%2F%28x%2B4%29 ALIGN=MIDDLE  ALT=\"%282x+%2B+6%29%2F%282x%5E2+%2B+14x+%2B+24%29=1%2F%28x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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