document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466252>Question 466252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the rational expression in simplest form that represents the sum of the recipricals of the consecutive integers x-2 and x-1.\r<BR>\n" );
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document.write( "a. 2x-3<BR>\n" );
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document.write( "(x-2)(x-1)\r<BR>\n" );
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document.write( "b. x-1<BR>\n" );
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document.write( "   x-2\r<BR>\n" );
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document.write( "c. -3<BR>\n" );
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document.write( "(x-2)(x-1)\r<BR>\n" );
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document.write( "d. -3(x-1)<BR>\n" );
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document.write( "   (x-2)\r<BR>\n" );
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document.write( "e. x-2<BR>\n" );
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document.write( "   x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319581 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x - 2 + x - 1\r<BR>\n" );
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document.write( "Sum of reciprocals<BR>\n" );
document.write( "= 1/(x - 2) + 1/(x - 1) <BR>\n" );
document.write( "= (x - 1) / (x - 2)(x - 1) + (x - 2) / (x - 2)(x - 1) {got common denominator}\r<BR>\n" );
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document.write( "x - 1 + x - 2<BR>\n" );
document.write( "-------------- {combined numerators over common denominator}<BR>\n" );
document.write( "(x - 2)(x - 1)\r<BR>\n" );
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document.write( "2x - 3<BR>\n" );
document.write( "-------------- {combined like terms in numerator}<BR>\n" );
document.write( "(x - 2)(x - 1)<BR>\n" );
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