document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268999>Question 268999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. -2/y^2 - 9 + 4y/(y - 3)^2 + 6/3 - y<BR>\n" );
document.write( "2. x^2/3x^2 - 5x - 2 - 2x/3x + 1 divived by 1/x - 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197144 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=197144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. -2/(y^2 - 9) + 4y/(y - 3)^2 + 6/(3 - y)<BR>\n" );
document.write( "factor the denominators to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F%28%28y-3%29%28y%2B3%29%29+%2B+4y%2F%28y+-+3%29%5E2+%2B+6%2F%283+-+y%29 ALIGN=MIDDLE  ALT=\"-2%2F%28%28y-3%29%28y%2B3%29%29+%2B+4y%2F%28y+-+3%29%5E2+%2B+6%2F%283+-+y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "change the last sign to minus by the negative 1 rule and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F%28%28y-3%29%28y%2B3%29%29+%2B+4y%2F%28y+-+3%29%5E2+-+6%2F%28y-3%29 ALIGN=MIDDLE  ALT=\"-2%2F%28%28y-3%29%28y%2B3%29%29+%2B+4y%2F%28y+-+3%29%5E2+-+6%2F%28y-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "our common denominator is (y-3)^2(y+3). We change our numerators as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2A%28y-3%29+%2B4y%28y%2B3%29+-6%28y%5E2-9%29%29%2F%28%28y-3%29%5E2%28y%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28-2%2A%28y-3%29+%2B4y%28y%2B3%29+-6%28y%5E2-9%29%29%2F%28%28y-3%29%5E2%28y%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify the numerator as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2y%5E2%2B10y%2B60%29%2F%28%28y-3%29%5E2%28y%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28-2y%5E2%2B10y%2B60%29%2F%28%28y-3%29%5E2%28y%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%283x%5E2+-+5x+-+2%29+-+2x%2F%283x+%2B+1%29%29+%2F+%281%2F%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%283x%5E2+-+5x+-+2%29+-+2x%2F%283x+%2B+1%29%29+%2F+%281%2F%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor the first fractions as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2F%283x%2B1%29%28x-2%29+-+2x%2F%283x+%2B+1%29%29+%2F+%281%2F%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2F%283x%2B1%29%28x-2%29+-+2x%2F%283x+%2B+1%29%29+%2F+%281%2F%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add the numerator fractions to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E2-2x%5E2%2B4x%29%2F%28%283x%2B1%29%28x-2%29%29%29+%2F+%281%2F%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E2-2x%5E2%2B4x%29%2F%28%283x%2B1%29%28x-2%29%29%29+%2F+%281%2F%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplifying we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-x%5E2+%2B+4x%29%2F%28%283x%2B1%29%28x-2%29%29%29+%2F+%281%2F%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"%28%28-x%5E2+%2B+4x%29%2F%28%283x%2B1%29%28x-2%29%29%29+%2F+%281%2F%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both fractions by x-2 we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%5E2+%2B+4x%29%2F%283x%2B1%29 ALIGN=MIDDLE  ALT=\"%28-x%5E2+%2B+4x%29%2F%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if you want to factor the numerator, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2A%28x-4%29%2F%283x%2B1%29 ALIGN=MIDDLE  ALT=\"-x%2A%28x-4%29%2F%283x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );