document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192413>Question 192413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me divide this rational expression \r<BR>\n" );
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document.write( "x^2+6x+9/2x^2y-18y  / 6xy+18y/3x^2y-27y<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144437 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=144437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+6x+9/2x^2y-18y / 6xy+18y/3x^2y-27y<BR>\n" );
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document.write( "[(x+3)^2] / [2y(x-3)(x+3)] / [6y(x+3)] / 3y(x-3)(x+3)]\r<BR>\n" );
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document.write( "Do some canceling before inverting the denominator:\r<BR>\n" );
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document.write( "= [(x+3)/[2y(x-3)] / [2/(x-3)]\r<BR>\n" );
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document.write( "Invert the denominator and multiply\r<BR>\n" );
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document.write( "= [(x+3)/[2y(x-3)] * [(x-3)/2]\r<BR>\n" );
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document.write( "Cancel factors common to a numerator and a denominator:\r<BR>\n" );
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document.write( "= [(x+3)/[2(2y)]\r<BR>\n" );
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document.write( "= (x+3)/(4y)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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