document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121200>Question 121200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> add<BR>\n" );
document.write( "x^2/x-5+4x-45/x-5\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #89028 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=89028\">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%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B4x-45%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4x-45%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the denominators are all equal, we can combine the numerators\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29%28x-5%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%2B9%29%28x-5%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29cross%28%28x-5%29%29%2Fcross%28%28x-5%29%29 ALIGN=MIDDLE  ALT=\"%28x%2B9%29cross%28%28x-5%29%29%2Fcross%28%28x-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel like terms\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9 ALIGN=MIDDLE  ALT=\"x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "---------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B9 ALIGN=MIDDLE  ALT=\"x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29=x%2B9 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%2F%28x-5%29%2B%284x-45%29%2F%28x-5%29=x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > However, keep in mind that <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" );
document.write( "</TD></TR></TABLE>\n" );