document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38852>Question 38852</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233883/algebrahomeworkh>Elementary Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to perform indicated operation and simplify if possible:\r<BR>\n" );
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document.write( "5x over x^2-9 minus 4 over 3-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25005 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sure...<BR>\n" );
document.write( "5x / (x^2 - 9) - 4 / (3 - x) =<BR>\n" );
document.write( "5x / (x^2 - 9) + 4 / (x - 3) = (notice that trick)<BR>\n" );
document.write( "5x / (x+3)(x-3) + 4 / (x - 3) =<BR>\n" );
document.write( "5x / (x+3)(x-3) + 4(x+3) / (x+3)(x-3) (making denominators the same)<BR>\n" );
document.write( "[5x + 4(x+3)] / (x+3)(x-3) = <BR>\n" );
document.write( "[5x + 4x + 12] / (x+3)(x-3) =<BR>\n" );
document.write( "(9x + 12) / (x+3)(x-3)<BR>\n" );
document.write( "That's about as far as you can go...you could factor the numerator into 3(3x+4) but it doesn't help simplify things... </SPAN>\n" );
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