document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325270>Question 325270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following expression.<BR>\n" );
document.write( "(x^(2)-4)/(x^(2)-7x+10)/(x^(2)+6x+5)/(x^(2)-25) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232926 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=232926\">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=%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%29%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%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%28%28x%5E2-25%29%2F%28x%5E2%2B6x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%28%28x%5E2-25%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%5E2-4%29%2F%28x%5E2-7x%2B10%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4%29%2F%28x%5E2-7x%2B10%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%5E2-25%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%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-2%29%28x%2B2%29%29%2F%28x%5E2-7x%2B10%29%29%28%28x%5E2-25%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%5E2-4 ALIGN=MIDDLE  ALT=\"x%5E2-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%2B2%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-2%29%28x%2B2%29%29%2F%28%28x-2%29%28x-5%29%29%29%28%28x%5E2-25%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%5E2-7x%2B10 ALIGN=MIDDLE  ALT=\"x%5E2-7x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-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%28%28x-2%29%28x%2B2%29%29%2F%28%28x-2%29%28x-5%29%29%29%28%28%28x-5%29%28x%2B5%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%5E2-25 ALIGN=MIDDLE  ALT=\"x%5E2-25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%28x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x%2B5%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-2%29%28x%2B2%29%29%2F%28%28x-2%29%28x-5%29%29%29%28%28%28x-5%29%28x%2B5%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-2%29%28x%2B2%29%28x-5%29%28x%2B5%29%29%2F%28%28x-2%29%28x-5%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-2%29%29%28x%2B2%29highlight%28%28x-5%29%29highlight%28%28x%2B5%29%29%29%2F%28highlight%28%28x-2%29%29highlight%28%28x-5%29%29highlight%28%28x%2B5%29%29%28x%2B1%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-2%29%29%28x%2B2%29cross%28%28x-5%29%29cross%28%28x%2B5%29%29%29%2F%28cross%28%28x-2%29%29cross%28%28x-5%29%29cross%28%28x%2B5%29%29%28x%2B1%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=%28x%2B2%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%2B1%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=%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%2F%28x%2B1%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=%28%28x%5E2-4%29%2F%28x%5E2-7x%2B10%29%29%2F%28%28x%5E2%2B6x%2B5%29%2F%28x%5E2-25%29%29=%28x%2B2%29%2F%28x%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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