document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888264>Question 888264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( "(x^3-8)/(x^2-3x+9)×(x^3+27)/(x^2+2x+4)×1/(x^2+x-6)\r<BR>\n" );
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document.write( "Hope this makes sense and that it's the right category to submit it.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #537346 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=537346\">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%5E3-8%29%2F%28x%5E2-3x%2B9%29 ALIGN=MIDDLE  ALT=\"%28x%5E3-8%29%2F%28x%5E2-3x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B27%29%2F%28x%5E2%2B2x%2B4%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B27%29%2F%28x%5E2%2B2x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E2%2Bx-6%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E2%2Bx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor as much as possible<BR>\n" );
document.write( "the 1st numerator can be factored as the \"difference of cubes\"<BR>\n" );
document.write( "the 2nd numerator can be factored as the \"sum of cubes\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-2%29%28x%5E2%2B2x%2B4%29%29%2F%28%28x%5E2-3x%2B9%29%29 ALIGN=MIDDLE  ALT=\"%28%28x-2%29%28x%5E2%2B2x%2B4%29%29%2F%28%28x%5E2-3x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B3%29%28x-3x%2B9%29%29%2F%28x%5E2%2B2x%2B4%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B3%29%28x-3x%2B9%29%29%2F%28x%5E2%2B2x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28x%2B3%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28x%2B3%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that we can cancel (x^2+2x+4) and (x^2-3x+9), then we have<BR>\n" );
document.write( "(x-2)*(x+3) ×<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28x%2B3%29%28x-2%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28x%2B3%29%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cancel the last denominator, we are left with just 1<BR>\n" );
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document.write( "I do not know what happened yesterday, but I lost it. We can usually correct this using the edit feature, but for some reason the edit feature was not working. Saw that it was working tonight. Hope this helps you, CK<BR>\n" );
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