document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464266>Question 464266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you show me the STEPS to solve the following: 1 over x-1 + 4 over x^2-1 - 2 over x^2-2x+1. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318041 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=318041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To solve the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-1%29%2B4%2F%28x%5E2-1%29=%28-2%29%2F%28x%5E2-2x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x-1%29%2B4%2F%28x%5E2-1%29=%28-2%29%2F%28x%5E2-2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, first we factor the \r<BR>\n" );
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document.write( "denominators to find the LCD.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x-1%29%2B4%2F%28x-1%29%28x%2B1%29=%28-2%29%2F%28x-1%29%5E2 ALIGN=MIDDLE  ALT=\"1%2F%28x-1%29%2B4%2F%28x-1%29%28x%2B1%29=%28-2%29%2F%28x-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. the LCD is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Second write all terms with the same denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x%2B1%29%2F%28x-1%29%5E2%28x%2B1%29%2B4%28x-1%29%2F%28x-1%29%5E2%28x%2B1%29=-2%28x%2B1%29%2F%28x-1%29%5E2%28x%2B1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides by LCD, and cancel like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1%2B4%28x-1%29=-2%28x%2B1%29 ALIGN=MIDDLE  ALT=\"x%5E2-1%2B4%28x-1%29=-2%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, set the equation equal to zero:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-3=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve this equation by factoring:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x-3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > The solution is:\r<BR>\n" );
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document.write( "x+1=0 <=> x=-1, and x-3=0 <=> x=3. Reject the solution x=-1 because the equation is undefined and the only solution is x=3. </SPAN>\n" );
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