document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823788>Question 823788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me factor this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4%284%29%282x%2B1%29%5E3%282x%29%2B%282x%2B1%29%5E4%284x%5E3%29+ ALIGN=MIDDLE  ALT=\"+x%5E4%284%29%282x%2B1%29%5E3%282x%29%2B%282x%2B1%29%5E4%284x%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The book says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4%284%29%282x%2B1%29%5E3%282x%29%2B%282x%2B1%29%5E4%284x%5E3%29+=+2x%5E3%282x%2B1%29%5E3++%284x%5E2%2B2%282x%2B1%29%29+ ALIGN=MIDDLE   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=+2x%5E3%282x%2B1%29%5E3%284x%5E2%2B4x%2B2%29+ ALIGN=MIDDLE  ALT=\"+2x%5E3%282x%2B1%29%5E3%284x%5E2%2B4x%2B2%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=+4x%5E3%282x%2B1%29%5E3%282x%5E2%2B2x%2B1%29+ ALIGN=MIDDLE  ALT=\"+4x%5E3%282x%2B1%29%5E3%282x%5E2%2B2x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In the first line, I understand how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E3%282x%2B1%29%5E3+ ALIGN=MIDDLE  ALT=\"+2x%5E3%282x%2B1%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x%2B1%29+ ALIGN=MIDDLE  ALT=\"+%282x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are factored, but what is really confusing me is how <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2%2B2+ ALIGN=MIDDLE  ALT=\"+4x%5E2%2B2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are factored. The lines following I also understand.\r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495785 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=495785\">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%5E4%284%29%282x%2B1%29%5E3%282x%29%2B%282x%2B1%29%5E4%284x%5E3%29+ ALIGN=MIDDLE  ALT=\"+x%5E4%284%29%282x%2B1%29%5E3%282x%29%2B%282x%2B1%29%5E4%284x%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think it will be easier to understand if we simplify a little before factoring. The first term. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E4%284%29%282x%2B1%29%5E3%282x%29 ALIGN=MIDDLE  ALT=\"+x%5E4%284%29%282x%2B1%29%5E3%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, can simplify a little if we multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the 4 and the 2x together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8x%5E5%282x%2B1%29%5E3%2B%282x%2B1%29%5E4%284x%5E3%29+ ALIGN=MIDDLE  ALT=\"+8x%5E5%282x%2B1%29%5E3%2B%282x%2B1%29%5E4%284x%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now we can factor a 4 from the 8 and the 4, a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E3 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B1%29%5E4 ALIGN=MIDDLE  ALT=\"%282x%2B1%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3%282x%2B1%29%5E3%282x%5E2+%2A+1+%2B+1%2A1%2A%282x%2B1%29%29 ALIGN=MIDDLE  ALT=\"4x%5E3%282x%2B1%29%5E3%282x%5E2+%2A+1+%2B+1%2A1%2A%282x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we just simplify the second factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E3%282x%2B1%29%5E3%282x%5E2+%2B+2x%2B1%29 ALIGN=MIDDLE  ALT=\"4x%5E3%282x%2B1%29%5E3%282x%5E2+%2B+2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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