document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=853054>Question 853054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%285%2F%28x-5%29%29%2B%283%2F%28x%2B3%29%29%29%2F%28%285%2F%28x%2B3%29%29%2B%283%2F%28x-5%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513862 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/(x-2) for x not = to -3 and x not = to 5<BR>\n" );
document.write( "(x+3)(x-5)=x^2-2x-15<BR>\n" );
document.write( "the denominators cancel each other out.\r<BR>\n" );
document.write( "\n" );
document.write( "new numerator<BR>\n" );
document.write( "5(x+3)+3*(x-5)<BR>\n" );
document.write( "5x+15+3x-15<BR>\n" );
document.write( "8x<BR>\n" );
document.write( "new denominator<BR>\n" );
document.write( "5*(x-5)+3*(x+3)<BR>\n" );
document.write( "5x-25+3x+9<BR>\n" );
document.write( "8x-16<BR>\n" );
document.write( "8*(x-2)\r<BR>\n" );
document.write( "\n" );
document.write( "new fraction<BR>\n" );
document.write( "8x/8*(x-2)<BR>\n" );
document.write( "x/(x-2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );