document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163904>Question 163904</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Preform the indicated operation. Reduce\r<BR>\n" );
document.write( "\n" );
document.write( "56.) 3/x+1+2/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 #120791 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=120791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the following fractions:\r<BR>\n" );
document.write( "\n" );
document.write( "3/(x + 1) + 2/(x - 1)\r<BR>\n" );
document.write( "\n" );
document.write( "Do you recall how to add fraction with different denominators?\r<BR>\n" );
document.write( "\n" );
document.write( "For example, if you have 2/3 + 4/5, what is the answer?\r<BR>\n" );
document.write( "\n" );
document.write( "You can use the same method for adding regular fractions like 2/3 + 4/5 when adding the two given algebraic fractions.\r<BR>\n" );
document.write( "\n" );
document.write( "OUR LCD = (x + 1)(x - 1)\r<BR>\n" );
document.write( "\n" );
document.write( "We divide the LCD by each denominator and then we multiply the quotient by each numerator to find the sum.\r<BR>\n" );
document.write( "\n" );
document.write( "Can you take it from here?\r<BR>\n" );
document.write( "\n" );
document.write( "If not, write back and I will answer the question in full after work.\r<BR>\n" );
document.write( "\n" );
document.write( "Your reply:\r<BR>\n" );
document.write( "\n" );
document.write( "\"I am not sure if I can answer this right or not!\"\r<BR>\n" );
document.write( "\n" );
document.write( "MY REPLY:\r<BR>\n" );
document.write( "\n" );
document.write( "3/(x + 1) + 2/(x - 1)\r<BR>\n" );
document.write( "\n" );
document.write( "Our LCD is (x+1)(x-1)\r<BR>\n" );
document.write( "\n" );
document.write( "3/(x + 1) times (x+1)(x-1)= 3(x - 1) = 3x - 3\r<BR>\n" );
document.write( "\n" );
document.write( "=============================================\r<BR>\n" );
document.write( "\n" );
document.write( "2/(x -1) times (x+1)(x-1)= 2(x + 1) = 2x + 1\r<BR>\n" );
document.write( "\n" );
document.write( "We now have this fraction over our LCD:\r<BR>\n" );
document.write( "\n" );
document.write( "[3x - 3 + 2x + 1]/(x + 1)(x - 1)\r<BR>\n" );
document.write( "\n" );
document.write( "We combine like terms in the numerator and that's it.\r<BR>\n" );
document.write( "\n" );
document.write( "Final answer: (5x - 2)/(x + 1)(x - 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );