document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977079>Question 977079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify completely:  x-2/2a-3 times 3-2a/2x-4<BR>\n" );
document.write( "I don't know where to begin actually. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598593 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=598593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-2)/(2a-3)  * (3-2a)/2(x-2)  I factored the denominator of the second part.\r<BR>\n" );
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document.write( "recognize that 3-2a = -(2a-3), so I may rewrite.\r<BR>\n" );
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document.write( "(x-2)/(2a-3) * - (2a-3)/(2(x-2))\r<BR>\n" );
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document.write( " -   1/2    Everything else cancels out, the (x-2) in the first term with 2(x-2) below in the second, leaving a 2, and the (2a-3) cancels.  \r<BR>\n" );
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document.write( "Key thing<BR>\n" );
document.write( "(4-x) does not cancel (x-4) as an example.<BR>\n" );
document.write( "BUT  4-x= - (x-4) and then you cancel.  You have to have a sign change. </SPAN>\n" );
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