document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734401>Question 734401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the complex fraction.<BR>\n" );
document.write( "1)    2x+12/3x-15/2x^2-6x-20/x^2-10x+25<BR>\n" );
document.write( "thanks!<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 #448915 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=448915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x+12/3x-15/2x^2-6x-20/x^2-10x+25<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[2(x+6)/3(x-5)]/[2(x-5)(x+2)/(x-5)^2]<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Invert the denominator and multiply:<BR>\n" );
document.write( "[2(x+6)/3(x-5)]*{(x-5)^2/[2(x-5)(x+2)]}<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "[2(x+6)/3] * {(x-5)^2/[2(x-5)^2*(x+2)]}<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Cancel 2,(x-5)^2 to get:<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "[(x+6)/3]*{1/[(x+2)}<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= (x+6)/[3(x+2)]<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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