document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144088>Question 144088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a homework assignment, and I'm supposed to \"factor the algebraic expressions completely.\" I've been able to figure out everything but one.\r<BR>\n" );
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document.write( "Here's the one giving me trouble:\r<BR>\n" );
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document.write( "x^8 - 1\r<BR>\n" );
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document.write( "I have no idea where to begin! Any help would be greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104863 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=104863\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^8 - 1<BR>\n" );
document.write( "The problem is in the form of a \"difference of squares\". \r<BR>\n" );
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document.write( "=(x^4-1)(x^4+1)\r<BR>\n" );
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document.write( "=(x^2-1)(x^2+1)(x^4+1)\r<BR>\n" );
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document.write( "=(x-1)(x+1)(x^2+1)(x^4+1)<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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