document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21702>Question 21702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x cubed - 36x  factor this please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10461 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10461\">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=x%5E3+-+36x ALIGN=MIDDLE  ALT=\"x%5E3+-+36x\"   DISABLED_style= \"max-width:90%; height:auto;\" > really means x*x*x - 36*x. So, what appears in both terms? An x does. So take this out of both terms...ie factorise, leaving x*(x*x - 36), which is written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2+-+36%29 ALIGN=MIDDLE  ALT=\"x%28x%5E2+-+36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This is your answer.\r<BR>\n" );
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document.write( "However, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2+-+36%29 ALIGN=MIDDLE  ALT=\"x%28x%5E2+-+36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be thought of as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2+-+6%5E2%29 ALIGN=MIDDLE  ALT=\"x%28x%5E2+-+6%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Being able to write terms within the bracket as the \"difference of squares\" means we can write this is a factored pair, as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x-6%29%28x%2B6%29 ALIGN=MIDDLE  ALT=\"x%28x-6%29%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is now fully factored... multiply out the brackets to make you fully accept that it is in fact <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-36 ALIGN=MIDDLE  ALT=\"x%5E2-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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