document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82586>Question 82586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Add the following rational expressions and make sure you answer is simplified:\r<BR>\n" );
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document.write( "x^3-x^2-10x/x^2-8x+16 + -3x^2-6x+64/x^2-8x+16 =\r<BR>\n" );
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document.write( "What I have so far is: x^3-x^2-10x >> x(x^2-x-10) [here is where I got stuck]<BR>\n" );
document.write( "                       x^2-8x+16 >> (x-4)(x-4)<BR>\n" );
document.write( "                       x^2-8x+16 >> (x-4)(x-4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59181 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Add the following rational expressions and make sure you answer is simplified:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-x%5E2-10x%29%2F%28x%5E2-8x%2B16%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-x%5E2-10x%29%2F%28x%5E2-8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3x%5E2-6x%2B64%29%2F%28x%5E2-8x%2B16%29 ALIGN=MIDDLE  ALT=\"%28-3x%5E2-6x%2B64%29%2F%28x%5E2-8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
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document.write( "They have the same denominators so write it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%5E3-x%5E2-10x%29+%2B+%28-3x%5E2-6x%2B64%29%29%2F%28x%5E2-8x%2B16%29 ALIGN=MIDDLE  ALT=\"%28%28x%5E3-x%5E2-10x%29+%2B+%28-3x%5E2-6x%2B64%29%29%2F%28x%5E2-8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-x%5E2-10x+-+3x%5E2-6x%2B64%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-x%5E2-10x+-+3x%5E2-6x%2B64%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >: remove brackets, factor denominator as you did<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+-+x%5E2+-+3x%5E2+-+10x+-+6x+%2B+64%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E3+-+x%5E2+-+3x%5E2+-+10x+-+6x+%2B+64%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; group like terms<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3-4x%5E2-16x%2B64%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-4x%5E2-16x%2B64%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; combined like terms<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%28x-4%29-16%28x-4%29%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%28x-4%29-16%28x-4%29%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; group and factor<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%28x%5E2-16%29%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%28x%5E2-16%29%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; factor out (x-4)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-4%29%28x-4%29%28x%2B4%29%29%2F%28%28x-4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-4%29%28x-4%29%28x%2B4%29%29%2F%28%28x-4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >: (x^2-16) can be factored (difference of squares)<BR>\n" );
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document.write( "Cancel out both (x-4)'s and you have:<BR>\n" );
document.write( "x + 4 \r<BR>\n" );
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document.write( " </SPAN>\n" );
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