document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103551>Question 103551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, I'm stumped.  Divide the rational expressions.\r<BR>\n" );
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document.write( "x^4-x^3+x^2+x / x^3-4x^2+x-4 (these are the numerators)<BR>\n" );
document.write( "2x^3+2x^2+x+1 / 2x^3-8x^2+x-4 (these are the denominators)\r<BR>\n" );
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document.write( "Here's what I have.<BR>\n" );
document.write( "X(x^3-x^2+x)* 2x^2(x-4)+(x-4)   nuerators<BR>\n" );
document.write( "2x^2(x+1)(x+1) * x^2 (x-4)(x-4)  denominators\r<BR>\n" );
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document.write( "now I'm stumped on factoring the first numerator </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75286 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=75286\">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%28x%5E4-x%5E3%2Bx%5E2%2Bx%29%2F%28x%5E3-4x%5E2%2Bx-4%29%29%2F%28%282x%5E3%2B2x%5E2%2Bx%2B1%29%2F%282x%5E3-8x%5E2%2Bx-4%29%29 ALIGN=MIDDLE   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%28x%5E4-x%5E3%2Bx%5E2%2Bx%29%2F%28x%5E3-4x%5E2%2Bx-4%29%29%2A%28%282x%5E3-8x%5E2%2Bx-4%29%2F%282x%5E3%2B2x%5E2%2Bx%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E3-4x%5E2%2Bx-4%29%29%2A%28%282x%5E3-8x%5E2%2Bx-4%29%2F%282x%5E3%2B2x%5E2%2Bx%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out an x out of the first numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E2%2B1%29%28x-4%29%29%2A%28%282x%5E3-8x%5E2%2Bx-4%29%2F%282x%5E3%2B2x%5E2%2Bx%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the first denominator through the use of factoring by grouping\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E2%2B1%29%28x-4%29%29%2A%28%282x%5E2%2B1%29%28x-4%29%2F%282x%5E2%2B1%29%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the second denominator through the use of factoring by grouping\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E2%2B1%29cross%28%28x-4%29%29%29%2A%28cross%28%282x%5E2%2B1%29%29cross%28%28x-4%29%29%2Fcross%28%282x%5E2%2B1%29%29%28x%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >Cancel like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E2%2B1%29%29%2A%281%2F%28x%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28x%28x%5E3-x%5E2%2Bx%2B1%29%2F%28x%5E2%2B1%29%29%2A%281%2F%28x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "Since this expression cannot be simplified or factored further, this is our answer </SPAN>\n" );
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