document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=294009>Question 294009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a complex fraction and I do not think I am simplifying right, please help me.<BR>\n" );
document.write( "-(4)/(x-1)+(2-2x)/x\r<BR>\n" );
document.write( "\n" );
document.write( "I get -2(x^2+1)/(x-1)x<BR>\n" );
document.write( "I do not think my answer is simplified as low as possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #212125 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=212125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -(4)/(x-1)+(2-2x)/x <BR>\n" );
document.write( "---<BR>\n" );
document.write( "lcd: x(x-1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "(-4x)/lcd + [2(1-x))(x-1)]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Combine the numerators over the lcd:<BR>\n" );
document.write( "[-4x -2(x-1)^2]/lcd<BR>\n" );
document.write( "---<BR>\n" );
document.write( "[-4x -2(x^2-2x+1)]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[-4x -2x^2+4x-2]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[-2x^2-2]/lcd<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[-2(x^2+1)]/[x(x-1)]<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );