document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72359>Question 72359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiplying Rational Expressions:\r<BR>\n" );
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document.write( "Multiply and simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+ ALIGN=MIDDLE  ALT=\"+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+ ALIGN=MIDDLE  ALT=\"+%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51751 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=51751\">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=+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+ ALIGN=MIDDLE  ALT=\"+%2816-y%5E2%29%2F%28y%5E2-2y-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+ ALIGN=MIDDLE  ALT=\"+%283y%5E2-5y-2%29%2F%28y%5E2-6y%2B8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First ... factor all parts of these fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%284-y%29%284%2By%29%29%2F%28%28y-4%29%28y%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28%284-y%29%284%2By%29%29%2F%28%28y-4%29%28y%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%283y%2B1%29%28y-2%29%29%2F%28%28y-4%29%28y-2%29%29+ ALIGN=MIDDLE  ALT=\"+%28%283y%2B1%29%28y-2%29%29%2F%28%28y-4%29%28y-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now since we are multiplying, we can combine the two fractions into one large one by combining the numerators and the denominators<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%284-y%29%284%2By%29%283y%2B1%29%28y-2%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%28y-2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel the (y-2) in the numerator and denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%284-y%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+ ALIGN=MIDDLE  ALT=\"+%28%284-y%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out a -1 in the FIRST term of the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%28-4%2By%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+ ALIGN=MIDDLE  ALT=\"+%28-1%28-4%2By%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since addition is commutative, -4+y is now y-4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%28y-4%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+ ALIGN=MIDDLE  ALT=\"+%28-1%28y-4%29%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%28y-4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel the y-4 in the numerator and denominator.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-1%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%29+ ALIGN=MIDDLE  ALT=\"+%28-1%284%2By%29%283y%2B1%29%29%2F%28%28y-4%29%28y%2B2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is as simple as you can get.  If your instructor wants ... you may need to multiply and come out with a Trinomial in the numerator and denominator. </SPAN>\n" );
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