document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76828>Question 76828</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone show me how to write the rational expression in lowest terms?  \r<BR>\n" );
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document.write( "r-13/13-r </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55079 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=55079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My interpretation of your problem is that you need to simplify the rational<BR>\n" );
document.write( "expression:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-13%29%2F%2813-r%29 ALIGN=MIDDLE  ALT=\"%28r-13%29%2F%2813-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That being the case, notice what happens if you change the denominator by factoring <BR>\n" );
document.write( "out -1.  If you do that factoring you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-13%29%2F%28%28-1%29%2A%28-13%2Br%29%29 ALIGN=MIDDLE  ALT=\"%28r-13%29%2F%28%28-1%29%2A%28-13%2Br%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and re-arranging the terms inside the parentheses in the denominator results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r-13%29%2F%28%28-1%29%2A%28r-13%29%29 ALIGN=MIDDLE  ALT=\"%28r-13%29%2F%28%28-1%29%2A%28r-13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now you can cancel the like terms of the denominator and numerator to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28r-13%29%2F%28%28-1%29%2Across%28r-13%29%29 ALIGN=MIDDLE  ALT=\"cross%28r-13%29%2F%28%28-1%29%2Across%28r-13%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and this leaves you with just:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-1%29 ALIGN=MIDDLE  ALT=\"1%2F%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the result of this simplification is just plain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to see your way through the problem.<BR>\n" );
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