document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87264>Question 87264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello tutors! I'm stuck on this one. The answer is 4a^2/[9(a-1)], but I'm not sure how the 5 factors out. Thanks for any help you can give!\r<BR>\n" );
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document.write( "5a^2-20   ( a^3+2a^2    9a^3+6a^2)<BR>\n" );
document.write( "_______ / ________  * __________<BR>\n" );
document.write( "3a^2-12a   (2a^2-8a    2a^2-4a) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63211 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are looking for factorised versions that have same factors in so that we can cancel down and thus simplify.\r<BR>\n" );
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document.write( "i will do the numerator first:\r<BR>\n" );
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document.write( "And now the denominator --> has multiplications and divisions so it shouldn't matter which order we do them: I shall factorise everything first to see what i have.\r<BR>\n" );
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document.write( "what we have left now looks just as complicated but that is only because we have so many fractions in there.\r<BR>\n" );
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document.write( "Consider <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Fb%29%2F%28c%2Fd%29+ ALIGN=MIDDLE  ALT=\"+%28a%2Fb%29%2F%28c%2Fd%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This can be re-written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Fb%29+%2A+%28d%2Fc%29+ ALIGN=MIDDLE  ALT=\"+%28a%2Fb%29+%2A+%28d%2Fc%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so our <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%285%28a%2B2%29%28a-2%29%29%2F%283a%28a-4%29%29+%29+%2F+%28+%28+3a%5E2%283a%2B2%29%28a%2B2%29+%29+%2F+%28+4%28a-4%29%28a-2%29+%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > can be thought of as \r<BR>\n" );
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document.write( "and finally we can start to simplify by cancelling out terms.<BR>\n" );
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document.write( "which is nowhere near what you say is the answer so i am guessing that my view of what you wrote is wrong... my method is fine - i have checked it a couple of times but admittedly it is difficult on here rather than on paper.\r<BR>\n" );
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document.write( "See if you follow what i did and apply it to your version of the question and see if you get the answer you quote.\r<BR>\n" );
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document.write( "Good luck<BR>\n" );
document.write( "cheers<BR>\n" );
document.write( "Jon.<BR>\n" );
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