document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=677436>Question 677436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having problems simplifying this rational expression:\r<BR>\n" );
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document.write( "(y+5)/(y-5)-(y-6)/(y-7)+(2)/(y^(2)-12y+35)\r<BR>\n" );
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document.write( "Wolfram Alpha claims that the most simplified solution is (9)/(7-5) but I can't figure out how to get there from the simplified solution I have, (9y-63)/((y-7)(y-5)). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420893 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28y%5E2-12y%2B35%29 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28y%5E2-12y%2B35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28%28y-7%29%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%28y%2B5%29%2F%28y-5%29+-+%28y-6%29%2F%28y-7%29+%2B+%282%29%2F%28%28y-7%29%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Create the common denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2B5%29%2F%28y-5%29%29%28%28y-7%29%2F%28y-7%29%29+-+%28%28y-6%29%2F%28y-7%29%29%28%28y-5%29%2F%28y-5%29%29+%2B+%282%29%2F%28%28y-7%29%28y-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2B5%29%28y-7%29%29%2F%28%28y-5%29%28y-7%29%29+-+%28%28y-6%29%28y-5%29%29%2F%28%28y-7%29%28y-5%29%29+%2B+%282%29%2F%28%28y-7%29%28y-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y%2B5%29%28y-7%29-%28y-6%29%28y-5%29%2B2%29%2F%28%28y-7%29%28y-5%29%29 ALIGN=MIDDLE  ALT=\"%28%28y%2B5%29%28y-7%29-%28y-6%29%28y-5%29%2B2%29%2F%28%28y-7%29%28y-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Numerator<BR>\n" );
document.write( "(y+5)(y-7) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-7y%2B5y-35 ALIGN=MIDDLE  ALT=\"y%5E2-7y%2B5y-35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-2y-35 ALIGN=MIDDLE  ALT=\"y%5E2-2y-35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(y-6)(y-5) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-5y-6y%2B30 ALIGN=MIDDLE  ALT=\"y%5E2-5y-6y%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-11y%2B30 ALIGN=MIDDLE  ALT=\"y%5E2-11y%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2-2y-35%29-%28y%5E2-11y%2B30%29%2B2 ALIGN=MIDDLE  ALT=\"%28y%5E2-2y-35%29-%28y%5E2-11y%2B30%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute the negative<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+2y+-+35+-+y%5E2+%2B+11y+-+30+%2B+2 ALIGN=MIDDLE  ALT=\"y%5E2+-+2y+-+35+-+y%5E2+%2B+11y+-+30+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9y - 63<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y-63%29%2F%28%28y-7%29%28y-5%29%29+=+9%28y-7%29%2F%28%28y-7%29%28y-5%29%29+=+highlight_green%289%2F%28y-5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
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