document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401295>Question 401295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having so much trouble with these two problems: Simplify the rational expressions:\r<BR>\n" );
document.write( "\n" );
document.write( "a)  -x^2+10x-21/-3x^2+23x-14 (friend told me the answer is 3-x/3x-2 but had difficulty trying to explain the steps to me)<BR>\n" );
document.write( "b) 28x^2-29x+6/-28x^2+50x-12 (didn't ask my friend because of question a's explanation issues)\r<BR>\n" );
document.write( "\n" );
document.write( "I thought that I could factor the numerator and denominator separately, then divide them, but Im not sure if that's right. Any help is GREATLY appreciated!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283973 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) -x^2+10x-21/-3x^2+23x-14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-x^2 + 10x - 21<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "-3x^2 + 23x - 14\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-1(x^2 - 10x + 21)<BR>\n" );
document.write( "----------------- {factored -1 out of top and bottom}<BR>\n" );
document.write( "-1(3x^2 - 23x + 14) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x - 7)(x - 3)<BR>\n" );
document.write( "--------------- {cancelled the -1's and factored top and bottom into 2 binomials}<BR>\n" );
document.write( "(3x - 2)(x - 7)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x - 3<BR>\n" );
document.write( "------ {cancelled x - 7 on top and bottom}<BR>\n" );
document.write( "3x - 2 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "******************************************\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) 28x^2-29x+6/-28x^2+50x-12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "28x^2 - 29x + 6<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "-28x^2 + 50x - 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(7x - 2)(4x - 3)<BR>\n" );
document.write( "------------------ {factored -2 out of bottom and top into two binomials}<BR>\n" );
document.write( "-2(14x^2 - 25x + 6)  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(7x - 2)(4x - 3)<BR>\n" );
document.write( "------------------ {factored bottom into two binomials}<BR>\n" );
document.write( "-2(7x - 2)(2x - 3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4x - 3<BR>\n" );
document.write( "---------- {cancelled 7x - 2 on top and bottom}<BR>\n" );
document.write( "-2(2x - 3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.algebrahouse.com/\" target = \"_blank\">www.algebrahouse.com</a><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );