document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66007>Question 66007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a problem off of the practice equation problems from this site. I started to work out this problem: 2x^4-54x. I got as far as 2x(x^3-27). I couldn't figure out how they moved from that to the answer of 2x(x-3)(x^2+3x+9)<BR>\n" );
document.write( "Can you show the steps on how to get that final answer? I tried to figure it out on my own, but I wasn't even close. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46781 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=46781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E4-54x ALIGN=MIDDLE  ALT=\"2x%5E4-54x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the 2x as you did.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%5E3-27%29 ALIGN=MIDDLE  ALT=\"2x%28x%5E3-27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you may recognise the parentheses as the difference of two cubes for which the factored form is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E3+-+B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3+-+B%5E3+=+%28A-B%29%28A%5E2%2BAB%2BB%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Apply this to your equation: A = x and B = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x%5E3-27%29+=+2x%28%28x%29%5E3+-+%283%29%5E3%29 ALIGN=MIDDLE  ALT=\"2x%28x%5E3-27%29+=+2x%28%28x%29%5E3+-+%283%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x-3%29%28%28x%29%5E2%2B%283%29%28x%29%2B%283%29%5E2%29+=+2x%28x-3%29%28x%5E2%2B3x%2B9%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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