document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37451>Question 37451</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" );
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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 #23164 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=23164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay...we need to combine these fractions and then simplify...notice how the denominator in the second fraction is the first denominator squared...<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( "Thus we will need to multiply the first fraction by (x - 1) / (x - 1)...<BR>\n" );
document.write( "(3x(x - 1)/(x - 1)^2) - (x-4/(x - 1)^2) and put it all over the same denominator:<BR>\n" );
document.write( "[(3x(x - 1) - (x - 4)] / (x - 1)^2<BR>\n" );
document.write( "Now expand the numerator and simplify...<BR>\n" );
document.write( "[(3x(x - 1) - (x - 4)] / (x - 1)^2 = <BR>\n" );
document.write( "(3x^2 - 3x - x + 4)  / (x - 1)^2 =<BR>\n" );
document.write( "(3x^2 - 4x + 4)  / (x - 1)^2<BR>\n" );
document.write( "Nothing more can be done with this one...that's the answer. </SPAN>\n" );
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