document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429571>Question 429571</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! Please help. Can you include steps so I can do it myself in the future? Thanks!<BR>\n" );
document.write( "Simplify the following expression.<BR>\n" );
document.write( "3/2x+1 - x+1/4x^2-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298366 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%282x%2B1%29-%28x%2B1%29%2F%284x%5E2-1%29 ALIGN=MIDDLE  ALT=\"3%2F%282x%2B1%29-%28x%2B1%29%2F%284x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=, (Step 1: Factor the denominator).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%282x%2B1%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29 ALIGN=MIDDLE  ALT=\"3%2F%282x%2B1%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=, (Step2: Find LCD and not allowed values of x.)\r<BR>\n" );
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document.write( "The LCD is (2x+1)(2x-1)=0, 2x+1=0 => x=-1/2 and 2x-1=0 => x=1/2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%282x-1%29%2F%282x%2B1%29%282x-1%29%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29 ALIGN=MIDDLE  ALT=\"%283%282x-1%29%2F%282x%2B1%29%282x-1%29%29-%28x%2B1%29%2F%282x%2B1%29%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=,( Multiply the numerator and \r<BR>\n" );
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document.write( "denominator of the first term by (2x-1)).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%282x-1%29-%28x%2B1%29%29%2F%282x-1%29%282x%2B1%29 ALIGN=MIDDLE  ALT=\"%283%282x-1%29-%28x%2B1%29%29%2F%282x-1%29%282x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=( As sum of terms with same denominator).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286x-3-x-1%29%2F%284x%5E2-1%29 ALIGN=MIDDLE  ALT=\"%286x-3-x-1%29%2F%284x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=, (Using distributive property.Combine like terms.)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x-4%29%2F%284x%5E2-1%29 ALIGN=MIDDLE  ALT=\"%285x-4%29%2F%284x%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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