document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111037>Question 111037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will somrone please help me solve this problem? perform the indicated operation and simplify:5x/x-1-x/x+2+6/x^2+x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81012 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=81012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x/(x-1)-x/(x+2)+6/(x^2+x-2)\r<BR>\n" );
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document.write( "LCD = (x-1)(x+2) \r<BR>\n" );
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document.write( "Rewrite each fraction with the LCD as its denominator:\r<BR>\n" );
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document.write( "= [5x(x+2)/LCD] -[x(x-1)/LCD] + [6/LCD]\r<BR>\n" );
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document.write( "All the denominators are the same so combine the numerators over the LCD:<BR>\n" );
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document.write( "= [5x^2+10x-x^2+x+6]/LCD\r<BR>\n" );
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document.write( "= [4x^2+11x+6]/LCD\r<BR>\n" );
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document.write( "= [4x^2+8x+3x+6]/LCD\r<BR>\n" );
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document.write( "= [4x(x+2)+3(x+2)]/LCD\r<BR>\n" );
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document.write( "= [(x+2)(4x+3)]/[(x-1)(x+2)]\r<BR>\n" );
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document.write( "= (4x+3)/(x-1)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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