document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193271>Question 193271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the rational expression x(x+1)^2(x-5)/x(x+2)(x-5)^3 in simplest terms. Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145093 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=145093\">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=%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%5E3%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%5E3%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=%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%28x-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%28x-5%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%5E3 ALIGN=MIDDLE  ALT=\"%28x-5%29%5E3\"   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-5%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-5%29%28x-5%29%5E2\"   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=%28highlight%28x%29%28x%2B1%29%5E2%2Ahighlight%28%28x-5%29%29%29%2F%28highlight%28x%29%28x%2B2%29highlight%28%28x-5%29%29%28x-5%29%5E2%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%28x%29%28x%2B1%29%5E2%2Across%28%28x-5%29%29%29%2F%28cross%28x%29%28x%2B2%29cross%28%28x-5%29%29%28x-5%29%5E2%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=%28%28x%2B1%29%5E2%29%2F%28%28x%2B2%29%28x-5%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B1%29%5E2%29%2F%28%28x%2B2%29%28x-5%29%5E2%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=%28x%28x%2B1%29%5E2%28x-5%29%29%2F%28x%28x%2B2%29%28x-5%29%5E3%29=%28%28x%2B1%29%5E2%29%2F%28%28x%2B2%29%28x-5%29%5E2%29 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-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E5 ALIGN=MIDDLE  ALT=\"x%3C%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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