document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37452>Question 37452</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078279992/algebrahomeworkh>Glencoe Mathemathics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Perform indicated operations and simplify the result.  Leave answer in factored form.\r<BR>\n" );
document.write( "\n" );
document.write( "(3x/x-1)-(x-4/x^2-2x+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25000 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=25000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From<BR>\n" );
document.write( "(3x / x-1) - (x-4 / x^2-2x+1) =<BR>\n" );
document.write( "(3x / x-1) - (x-4 / (x-1)^2) =<BR>\n" );
document.write( "(3x(x-1) / (x-1)^2) - ((x-4) / (x-1)^2) =<BR>\n" );
document.write( "[3x(x-1) - (x-4)] / (x-1)^2 =<BR>\n" );
document.write( "though this is in factored form, we can go on...<BR>\n" );
document.write( "(3x^2 - 3x - x + 4) / (x-1)^2 =<BR>\n" );
document.write( "(3x^2 - 4x + 4)  / (x-1)^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );