document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126069>Question 1126069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify {[3^(2n)] - 1} / {[3^(n+1)] - 3}. Thank you :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742387 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Simplify:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%5E%282n%29%29+-+1%29+%2F+%28%283%5E%28n%2B1%29%29+-+3%29 ALIGN=MIDDLE  ALT=\"%28%283%5E%282n%29%29+-+1%29+%2F+%28%283%5E%28n%2B1%29%29+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The numerator factors as the difference of squares:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%282n%29-1+=+%283%5En-1%29%283%5En%2B1%29 ALIGN=MIDDLE  ALT=\"3%5E%282n%29-1+=+%283%5En-1%29%283%5En%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In the denominator, take one factor of 3 out of \"3^(n+1)\"; then factor out the common factor of the two terms:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B1%29-3+=+3%283%5En%29-3+=+3%283%5En-1%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B1%29-3+=+3%283%5En%29-3+=+3%283%5En-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now simplify:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%5E%282n%29%29+-+1%29+%2F+%28%283%5E%28n%2B1%29%29+-+3%29+=+%28%283%5En-1%29%283%5En%2B1%29%29%2F%28%283%29%283%5En-1%29%29+=+%283%5En%2B1%29%2F3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );