document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095871>Question 1095871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help simplify the following:<BR>\n" );
document.write( "((6x^2)/ (x^2+2x+4))/ ((x^3-8) /(-6x+12))\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710367 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=710367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ((6x^2)/ (x^2+2x+4))/ ((x^3-8) /(-6x+12)) <BR>\n" );
document.write( "The numerator becomes 6x^2/(x^2+2x+4)<BR>\n" );
document.write( "The denominator becomes -(x-2)(x^2+2x+4)/(6x-12), because if I put a negative sign out front, one of the two terms may be negated without changing the fraction.<BR>\n" );
document.write( "This becomes -(x-2)/(x^2+2x+4)/6(x-2). That becomes -(1/6(x^2+2x+4)<BR>\n" );
document.write( "The trinomials cancel since they are both denominators.<BR>\n" );
document.write( "This becomes 6x^2/-(1/6)=-36x^2\r<BR>\n" );
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document.write( "Let x=3<BR>\n" );
document.write( "the original is 54/19 divided by 19/-6<BR>\n" );
document.write( "That is -324<BR>\n" );
document.write( "-36x^2=-324 </SPAN>\n" );
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