document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=356187>Question 356187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the solution to this problem,{{a^4-b^4}/{a-b}} by polynomial division. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #254260 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=254260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Factorization<BR>\n" );
document.write( " <BR>\n" );
document.write( "a^4-b^4=(a^2-b^29(a^2+b^2)=(a+b)(a-b)(a^2+b^2)<BR>\n" );
document.write( " <BR>\n" );
document.write( "Division : hence a^4-b^4 div. by a-b is (a+b)(a^2+b^2)=a^3+ab^2+a^2b+b^3<BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Verification by polynomial division : <BR>\n" );
document.write( " <BR>\n" );
document.write( "a^4-b^4 | a-b<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "a^4-a^3b| a^3+a^2b+ab^2+b^3<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "a^3b-b^4|<BR>\n" );
document.write( "a^3b-a^2b^2<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "a^2b^2-b^4<BR>\n" );
document.write( "a^2b^2-ab^3<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "ab^3-b^4<BR>\n" );
document.write( "ab^3-b^4<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );