document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=624554>Question 624554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor the polynomials and solve the equation<BR>\n" );
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document.write( "32xy^3 +4x=\r<BR>\n" );
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document.write( "I factored out 4x  to get 4x(8y^3+1)<BR>\n" );
document.write( "  but I am unsure if I should do that.  \r<BR>\n" );
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document.write( "Thanks in advance for your help.  Also can you please show me the steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #392841 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=392841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Now let's factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%5E3%2B1 ALIGN=MIDDLE  ALT=\"8y%5E3%2B1\"   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=8y%5E3%2B1 ALIGN=MIDDLE  ALT=\"8y%5E3%2B1\"   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=%282y%29%5E3%2B%281%29%5E3 ALIGN=MIDDLE  ALT=\"%282y%29%5E3%2B%281%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%5E3 ALIGN=MIDDLE  ALT=\"8y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%29%5E3 ALIGN=MIDDLE  ALT=\"%282y%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=%282y%2B1%29%28%282y%29%5E2-%282y%29%281%29%2B%281%29%5E2%29 ALIGN=MIDDLE  ALT=\"%282y%2B1%29%28%282y%29%5E2-%282y%29%281%29%2B%281%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor by using the sum of cubes formula. Remember the <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/specfact2.htm\">sum of cubes formula</a> is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 ALIGN=MIDDLE  ALT=\"A%5E3%2BB%5E3=%28A%2BB%29%28A%5E2-AB%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=%282y%2B1%29%284y%5E2-2y%2B1%29 ALIGN=MIDDLE  ALT=\"%282y%2B1%29%284y%5E2-2y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y%5E3%2B1 ALIGN=MIDDLE  ALT=\"8y%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%2B1%29%284y%5E2-2y%2B1%29 ALIGN=MIDDLE  ALT=\"%282y%2B1%29%284y%5E2-2y%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=8y%5E3%2B1=%282y%2B1%29%284y%5E2-2y%2B1%29 ALIGN=MIDDLE  ALT=\"8y%5E3%2B1=%282y%2B1%29%284y%5E2-2y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<font color=\"red\">Answer:</font>\r<BR>\n" );
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document.write( "So in the end, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32xy%5E3+%2B4x ALIGN=MIDDLE  ALT=\"32xy%5E3+%2B4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > completely factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%282y%2B1%29%284y%5E2-2y%2B1%29 ALIGN=MIDDLE  ALT=\"4x%282y%2B1%29%284y%5E2-2y%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Jim<BR>\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font> </SPAN>\n" );
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