document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110325>Question 110325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely\r<BR>\n" );
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document.write( "8x cubed - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80392 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "Factor completely\r<BR>\n" );
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document.write( "8x cubed - 1\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E3+-+1+ ALIGN=MIDDLE  ALT=\"+8x%5E3+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This can be written as,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E3+%2A+x%5E3+-+1%5E3 ALIGN=MIDDLE  ALT=\"+2%5E3+%2A+x%5E3+-+1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E3+-+1%5E3 ALIGN=MIDDLE  ALT=\"%282x%29%5E3+-+1%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------------------------(1)<BR>\n" );
document.write( " which is of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E3+-+b%5E3+ ALIGN=MIDDLE  ALT=\"+a%5E3+-+b%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the identity,  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E3+-+b%5E3+=+%28a-b%29%28a%5E2+%2B+ab+%2B+b%5E2%29 ALIGN=MIDDLE  ALT=\"+a%5E3+-+b%5E3+=+%28a-b%29%28a%5E2+%2B+ab+%2B+b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------(2)\r<BR>\n" );
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document.write( "Comparing (1) and (2), we have, a = 2x and b = 1\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E3+-+1%5E3+=+%282x+-1%29%28%282x%29%5E2+%2B+2x+%2A+1+%2B+1%5E2%29+ ALIGN=MIDDLE  ALT=\"%282x%29%5E3+-+1%5E3+=+%282x+-1%29%28%282x%29%5E2+%2B+2x+%2A+1+%2B+1%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E3+-+1%5E3+=+%282x+-1%29%284x%5E2+%2B+2x+%2B+1+%29 ALIGN=MIDDLE  ALT=\"%282x%29%5E3+-+1%5E3+=+%282x+-1%29%284x%5E2+%2B+2x+%2B+1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the factors are, (2x -1) and (4x^2 + 2x + 1)\r<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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