document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651459>Question 651459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have worked this problem multiple times and keep getting the same answer, but my friend gets a different answer than me every time and I don't know who's right.\r<BR>\n" );
document.write( "\n" );
document.write( "the problem is: (x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)\r<BR>\n" );
document.write( "\n" );
document.write( "the answer i get is 2x^2+x+5/(x-2)(x+1)(x+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407665 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+3)/(x^2-x-2) + (x-1)/(x^2+2x+1)<BR>\n" );
document.write( "Factor the DENs<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2F%28%28x-2%29%2A%28x%2B1%29%29+%2B+%28x-1%29%2F%28x%2B1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2F%28%28x-2%29%2A%28x%2B1%29%29+%2B+%28x-1%29%2F%28x%2B1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Common DEN = (x-2)*(x+1)^2<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2A%28x%2B1%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29+%2B+%28x-1%29%2A%28x-2%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+4x+%2B+3%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29+%2B+%28x%5E2+-+3x+%2B+2%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2+%2B+x+%2B+5%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29%29 ALIGN=MIDDLE  ALT=\"%282x%5E2+%2B+x+%2B+5%29%2F%28%28x-2%29%2A%28x%2B1%29%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );