document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467479>Question 467479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to simplify 2 rational expressions. Please help with showing steps so I can learn how to do for my college algebra class. Thanks!!!\r<BR>\n" );
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document.write( "3y/(y^2-7y+10)-2y/(y^2-8y+15)\r<BR>\n" );
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document.write( "the 2nd one is a complex rational expression:\r<BR>\n" );
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document.write( "(1-x)/(x)+(x)/(1+x) over (fraction) (1+x)/(x)+(x)/(1-x)  <----simplify \r<BR>\n" );
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document.write( "(If I need to rewrite so this one makes sense let me know) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320782 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=320782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to simplify 2 rational expressions. Please help with showing steps so I can learn how to do for my college algebra class. Thanks!!! <BR>\n" );
document.write( "3y/(y^2-7y+10)-2y/(y^2-8y+15) <BR>\n" );
document.write( "the 2nd one is a complex rational expression: <BR>\n" );
document.write( "(1-x)/(x)+(x)/(1+x) over (fraction) (1+x)/(x)+(x)/(1-x)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "first  problem<BR>\n" );
document.write( "3y/(y^2-7y+10)-2y/(y^2-8y+15)<BR>\n" );
document.write( "3y/(y-2)(y-5)-2y/(y-5)(y-3)<BR>\n" );
document.write( "LCD:(y-2)(y-3)(y-5)<BR>\n" );
document.write( "3y(y-3)-2y(y-2)/(y-2)(y-3)(y-5)<BR>\n" );
document.write( "3y^2-3y-2y^2+4y/(y-2)(y-3)(y-5)<BR>\n" );
document.write( "y^2+y/(y-2)(y-3)(y-5)<BR>\n" );
document.write( "y(y+1)/(y-2)(y-3)(y-5) (This does not appear to be very simplified, but at least it is in factored form.)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2nd problem<BR>\n" );
document.write( "[(1-x)/x+x/(1+x)]/[(1+x)/x+x/(1-x)]<BR>\n" );
document.write( "working numerator and denominator separately<BR>\n" );
document.write( "numerator:<BR>\n" );
document.write( "(1-x)/x+x/(1+x)<BR>\n" );
document.write( "LCD:x(1+x)<BR>\n" );
document.write( "(1-x)(1+x)+x^2/x(1+x)<BR>\n" );
document.write( "1-x^2+x^2/x(1+x)<BR>\n" );
document.write( "1/x(1+x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "denominator:<BR>\n" );
document.write( "(1+x)/x+x/(1-x)<BR>\n" );
document.write( "LCD: x(1-x)<BR>\n" );
document.write( "(1+x)(1-x)+x^2/x(1-x)<BR>\n" );
document.write( "1-x^2+x^2/x(1-x)<BR>\n" );
document.write( "1/x(1-x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "put numerator and denominator back together<BR>\n" );
document.write( "1/x(1+x)/1/x(1-x)<BR>\n" );
document.write( "1/x(1+x)/1/x(1-x)<BR>\n" );
document.write( "(1-x)/(1+x) (ans) </SPAN>\n" );
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