document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272770>Question 272770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SIMPLIFY THIS RATIONAL EXPRESSION PLEASE :)<BR>\n" );
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document.write( "((2x^2-x)/(4x^2-4x+1))/((x^2)/(8x-4)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199404 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=199404\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%282x-1%29%29%2F%284x%5E2-4x%2B1%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%282x-1%29%29%2F%284x%5E2-4x%2B1%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%288x-4%29%2F%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%284%282x-1%29%29%2F%28x%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%284%282x-1%29%29%2F%28x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%284%282x-1%29%29%2F%28x%2Ax%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%282x-1%29%29%2F%28%282x-1%29%282x-1%29%29%29%2A%28%284%282x-1%29%29%2F%28x%2Ax%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%282x-1%29%282x-1%29%29%2F%28x%2Ax%282x-1%29%282x-1%29%29 ALIGN=MIDDLE  ALT=\"%284x%282x-1%29%282x-1%29%29%2F%28x%2Ax%282x-1%29%282x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ahighlight%28x%29%2Ahighlight%28%282x-1%29%29%2Ahighlight%28%282x-1%29%29%29%2F%28highlight%28x%29%2Ax%2Ahighlight%28%282x-1%29%29%2Ahighlight%28%282x-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Across%28x%29%2Across%28%282x-1%29%29%2Across%28%282x-1%29%29%29%2F%28cross%28x%29%2Ax%2Across%28%282x-1%29%29%2Across%28%282x-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fx ALIGN=MIDDLE  ALT=\"4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29=4%2Fx ALIGN=MIDDLE  ALT=\"%28%282x%5E2-x%29%2F%284x%5E2-4x%2B1%29%29%2F%28%28x%5E2%29%2F%288x-4%29%29=4%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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