document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168970>Question 168970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor b^6-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124601 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=124601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6-1 ALIGN=MIDDLE  ALT=\"b%5E6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2%29%5E3-%281%29%5E3 ALIGN=MIDDLE  ALT=\"%28b%5E2%29%5E3-%281%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6 ALIGN=MIDDLE  ALT=\"b%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2%29%5E3 ALIGN=MIDDLE  ALT=\"%28b%5E2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%5E3 ALIGN=MIDDLE  ALT=\"%281%29%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=%28b%5E2-1%29%28%28b%5E2%29%5E2%2B%28b%5E2%29%281%29%2B%281%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28b%5E2-1%29%28%28b%5E2%29%5E2%2B%28b%5E2%29%281%29%2B%281%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor by using the difference of cubes formula. Remember the <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/specfact2.htm\">difference of cubes formula</a> 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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2-1%29%28b%5E4%2Bb%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%28b%5E2-1%29%28b%5E4%2Bb%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%28b-1%29%28b%5E4%2Bb%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%28b-1%29%28b%5E4%2Bb%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-1 ALIGN=MIDDLE  ALT=\"b%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%28b-1%29 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%28b-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (by use of the difference of squares)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E4%2Bb%5E2%2B1 ALIGN=MIDDLE  ALT=\"b%5E4%2Bb%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29 ALIGN=MIDDLE  ALT=\"%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6-1 ALIGN=MIDDLE  ALT=\"b%5E6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29 ALIGN=MIDDLE  ALT=\"%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6-1=%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29 ALIGN=MIDDLE  ALT=\"b%5E6-1=%28b%2B1%29%28b-1%29%28b%5E2%2Bb%2B1%29%28b%5E2-b%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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