document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169800>Question 169800</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify\r<BR>\n" );
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document.write( "(x^2+2x-15/x^2-9)/(x^2+6x+5/x^2+4x+3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125187 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=125187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2%2B4x%2B3%29%29 ALIGN=MIDDLE   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%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29%29%28%28x%5E2%2B4x%2B3%29%2F%28x%5E2%2B6x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29%29%28%28x%5E2%2B4x%2B3%29%2F%28x%5E2%2B6x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the reciprocal of the second fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B6x%2B5%29%2F%28x%5E2%2B4x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%2B5%29%2F%28x%5E2%2B4x%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=%28%28%28x%2B5%29%28x-3%29%29%2F%28x%5E2-9%29%29%28%28x%5E2%2B4x%2B3%29%2F%28x%5E2%2B6x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-15 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-3%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%28%28x%2B5%29%28x-3%29%29%2F%28%28x-3%29%28x%2B3%29%29%29%28%28x%5E2%2B4x%2B3%29%2F%28x%5E2%2B6x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-9 ALIGN=MIDDLE  ALT=\"x%5E2-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%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=%28%28%28x%2B5%29%28x-3%29%29%2F%28%28x-3%29%28x%2B3%29%29%29%28%28%28x%2B3%29%28x%2B1%29%29%2F%28x%5E2%2B6x%2B5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B3 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x%2B1%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%28%28x%2B5%29%28x-3%29%29%2F%28%28x-3%29%28x%2B3%29%29%29%28%28%28x%2B3%29%28x%2B1%29%29%2F%28%28x%2B5%29%28x%2B1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B5 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x%2B1%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%28x%2B5%29%28x-3%29%28x%2B3%29%28x%2B1%29%29%2F%28%28x-3%29%28x%2B3%29%28x%2B5%29%28x%2B1%29%29 ALIGN=MIDDLE   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=%28highlight%28%28x%2B5%29%29highlight%28%28x-3%29%29highlight%28%28x%2B3%29%29highlight%28%28x%2B1%29%29%29%2F%28highlight%28%28x-3%29%29highlight%28%28x%2B3%29%29highlight%28%28x%2B5%29%29highlight%28%28x%2B1%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=%28cross%28%28x%2B5%29%29cross%28%28x-3%29%29cross%28%28x%2B3%29%29cross%28%28x%2B1%29%29%29%2F%28cross%28%28x-3%29%29cross%28%28x%2B3%29%29cross%28%28x%2B5%29%29cross%28%28x%2B1%29%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 ALIGN=MIDDLE  ALT=\"1\"   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=%28%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2%2B4x%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   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=%28%28x%5E2%2B2x-15%29%2F%28x%5E2-9%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2%2B4x%2B3%29%29=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-5 ALIGN=MIDDLE  ALT=\"x%3C%3E-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E3 ALIGN=MIDDLE  ALT=\"x%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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