document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49834>Question 49834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/(x-1)(x-2)+1/(x-2)(x-3)+1/(x-3)(x-4)= 1/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33081 by </B><A HREF=/tutors/aboutme.mpl?userid=alka><B>alka(15)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alka><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=33081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take the LCM of the denominators = (x-1)(x-2)(x-3)(x-4)<BR>\n" );
document.write( "Divide the LCM by the denominator of each term and multiply the result with the<BR>\n" );
document.write( "numerator of the respective term.\r<BR>\n" );
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document.write( " (x-3)(x-4) + (x-1)(x-4) + (x-1)(x-2)   <BR>\n" );
document.write( " ------------------------------------  =  1/6<BR>\n" );
document.write( "   (x-1)(x-2)(x-3)(x-4)            <BR>\n" );
document.write( "    \r<BR>\n" );
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document.write( "Use formula (x-a)(x-b) = x^2 - (a+b)x + ab \r<BR>\n" );
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document.write( " x^2 - 7x + 12 + x^2 - 5x + 4 + x^2 - 3x + 2    <BR>\n" );
document.write( "--------------------------------------------   =  1/6<BR>\n" );
document.write( "   (x-1)(x-2)(x-3)(x-4)                         \r<BR>\n" );
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document.write( "   3x^2 - 15x + 18        <BR>\n" );
document.write( "---------------------   =   1/6<BR>\n" );
document.write( "(x-1)(x-2)(x-3)(x-4)      \r<BR>\n" );
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document.write( "  3(x^2 -5x + 6)         <BR>\n" );
document.write( "-------------------    =   1/6<BR>\n" );
document.write( "(x-1)(x-2)(x-3)(x-4)  <BR>\n" );
document.write( "    \r<BR>\n" );
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document.write( " 3(x - 2)(x - 3)            <BR>\n" );
document.write( "--------------------     =    1/6<BR>\n" );
document.write( "(x-1)(x-2)(x-3)(x-4)  <BR>\n" );
document.write( "      \r<BR>\n" );
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document.write( "        3             <BR>\n" );
document.write( "------------  =    1/6<BR>\n" );
document.write( " (x-1)(x-4)    <BR>\n" );
document.write( "     \r<BR>\n" );
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document.write( "18 = (x-1)(x-4)<BR>\n" );
document.write( "18 = x^2 - 5x + 4<BR>\n" );
document.write( "x^2 - 5x - 14 = 0<BR>\n" );
document.write( "(x - 7 )(x +2 ) = 0<BR>\n" );
document.write( "x = 7 OR x = -2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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