document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174156>Question 174156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello and thanks in advance. I need some help with this one too;<BR>\n" );
document.write( "factor completely- a^4-ab^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129082 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a^4-ab^3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First, pull out what is common between both terms: a:<BR>\n" );
document.write( "a(a^3-b^3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, notice that the stuff inside the parenthesis is a \"difference of cubes\".  This is a \"special factor\" condition:<BR>\n" );
document.write( "http://www.purplemath.com/modules/specfact2.htm<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "a^3 – b^3 = (a – b)(a^2 + ab + b^2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "This would mean that:<BR>\n" );
document.write( "a(a^3-b^3)<BR>\n" );
document.write( "becomes:<BR>\n" );
document.write( "a(a – b)(a^2 + ab + b^2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );