document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101312>Question 101312</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131482882/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help! I have to simplify a rational expression, and I don't know how to get to the end result. Could you please show me how to do this step by step?\r<BR>\n" );
document.write( "\n" );
document.write( "The expression is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-%281%2Fx%5E2%29%29%2F%282%2B%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"%284-%281%2Fx%5E2%29%29%2F%282%2B%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I can only simplify it up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2-1%29%2F%282x%5E2%2Bx%29 ALIGN=MIDDLE  ALT=\"%284x%5E2-1%29%2F%282x%5E2%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and I don't know if what I did up to there is correct. In any case it's not the final solution.\r<BR>\n" );
document.write( "\n" );
document.write( "The final solution given in my book is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-1%29%2Fx ALIGN=MIDDLE  ALT=\"%282x-1%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks ahead very much for helping me to get there! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73776 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=73776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-%281%2Fx%5E2%29%29%2F%282%2B%281%2Fx%29%29 ALIGN=MIDDLE  ALT=\"%284-%281%2Fx%5E2%29%29%2F%282%2B%281%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "You already simplified it up to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E2-1%29%2F%282x%5E2%2Bx%29 ALIGN=MIDDLE  ALT=\"%284x%5E2-1%29%2F%282x%5E2%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is correct.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Now you can write your nominator this way: <BR>\n" );
document.write( "4x^2 – 1= (2x)^2 -1=(2x -1)(2x+1)<BR>\n" );
document.write( "With denominator we can do following: 2x^2+x=x(2x+1)<BR>\n" );
document.write( "	<BR>\n" );
document.write( "Now, we will have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-1%29%282x%2B1%29%2F+x%282x%2B1%29 ALIGN=MIDDLE  ALT=\"%282x+-1%29%282x%2B1%29%2F+x%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "now eliminate both (2x+1), and\r<BR>\n" );
document.write( "\n" );
document.write( "final result will be:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-1%29%2F+%0D%0A++++x ALIGN=MIDDLE  ALT=\"%282x+-1%29%2F+%0D%0A++++x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );