document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206554>Question 206554</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me factor this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%282n%2B1%29-2x%5E%28n%2B1%29%2Bx ALIGN=MIDDLE  ALT=\"x%5E%282n%2B1%29-2x%5E%28n%2B1%29%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156097 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=156097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^(2n+1)-2x^(n+1)+x<BR>\n" );
document.write( "Factor out \"x\" to get:<BR>\n" );
document.write( "x[(x^n)^2 - 2 x^n +1]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let x^n = k<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute to get:<BR>\n" );
document.write( "x[k^2 -2k + 1]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= x(k-1)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute to get:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= x((x^n)-1)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );