document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29912>Question 29912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this problem\r<BR>\n" );
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document.write( "simplify as much as possible\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-x-12+over+8x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-x-12+over+8x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B3x%5E2over+8x%5E3-2x%5E2 ALIGN=MIDDLE  ALT=\"x%5E3%2B3x%5E2over+8x%5E3-2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided by 4x-1 over 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 #16687 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=16687\">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=+%28x%5E2-x-12%29%2F%288x%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28x%5E2-x-12%29%2F%288x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >Divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E3%2B3x%5E2%29%2F%288x%5E3-2x%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28x%5E3%2B3x%5E2%29%2F%288x%5E3-2x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284x-1%29%2F%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+%284x-1%29%2F%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Great problem!!<BR>\n" );
document.write( "first of all lets review PEMDAS (order of opperations) since each term is being divided we are working left to right.  so looking at the first two fractions we find the reciprocal (flip) of the second one and multiply.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%5E2-x-12%29%2F%288x%5E2%29%29+%2A+%28%288x%5E3-2x%5E2%29%2F%28x%5E3%2B3x%5E2%29%29++ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > divided by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%284x-1%29%2F%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+%284x-1%29%2F%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since we are dividing by the 3rd fraction .. lets take its reciprocal and multiply as well.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x%5E2-x-12%29%2F%288x%5E2%29%29%2A%28%288x%5E3-2x%5E2%29%2F%28x%5E3%2B3x%5E2%29%29%2A%28%28x%2B2%29%2F%284x-1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor the numerator of each fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28%28x%2B3%29%28x-4%29%29%2F%288x%5E2%29%29%2A%28%282x%5E2%284x-1%29%29%2F%28x%5E3%2B3x%5E2%29%29%2A%28%28x%2B2%29%2F%284x-1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "factor the denominators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28%28x%2B3%29%28x-4%29%29%2F%288x%5E2%29%29%2A%28%282x%5E2%284x-1%29%29%2F%28x%5E2%28x%2B3%29%29%29%2A%28%28x%2B2%29%2F%284x-1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross cancel the x + 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-4%29%2F%288x%5E2%29%29%2A%28%282x%5E2%284x-1%29%29%2F%28x%5E2%29%29%2A%28%28x%2B2%29%2F%284x-1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross cancel the 4x - 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-4%29%2F%288x%5E2%29%29%2A%28%282x%5E2%29%2F%28x%5E2%29%29%2A%28%28x%2B2%29%2F1%29+ ALIGN=MIDDLE  ALT=\"+%28%28x-4%29%2F%288x%5E2%29%29%2A%28%282x%5E2%29%2F%28x%5E2%29%29%2A%28%28x%2B2%29%2F1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross cancel the x^2 and reduce the 2 and 8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-4%29%2F%284%29%29%2A%28%281%29%2F%28x%5E2%29%29%2A%28%28x%2B2%29%2F1%29+ ALIGN=MIDDLE  ALT=\"+%28%28x-4%29%2F%284%29%29%2A%28%281%29%2F%28x%5E2%29%29%2A%28%28x%2B2%29%2F1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply  ( I would leave the numerator factored out)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28x-4%29%28x%2B2%29%29%2F%284x%5E2%29+ ALIGN=MIDDLE  ALT=\"+%28%28x-4%29%28x%2B2%29%29%2F%284x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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