document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30271>Question 30271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me divide the rational expression.\r<BR>\n" );
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document.write( "a^2+2a+1/3 divided by a^2-1/a<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16996 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a^2+2a+1/3 divided by a^2-1/a<BR>\n" );
document.write( "= (a^2+2a+1)/3 divided by (a^2-1)/a<BR>\n" );
document.write( "= [(a+1)^2/3] divided by [(a+1)(a-1)/a]   <BR>\n" );
document.write( "(Using formula a^2 +2ab +b^2 = (a+b)^2 and here a=a and b=1<BR>\n" );
document.write( "and formula m^2-n^2 = (m+n)(m-n) where m= a and n= 1)<BR>\n" );
document.write( "= [(a+1)^2/3] multiplied  by [a/(a+1)(a-1)]   <BR>\n" );
document.write( "= [(a+1)^2 X a]/[3(a+1)(a-1)]  (multplying nr by nr and dr by dr)<BR>\n" );
document.write( "=a(a+1)/3(a-1)  (cacelling (a+1) ) <BR>\n" );
document.write( "Answer: a^2+2a+1/3 divided by a^2-1/a<BR>\n" );
document.write( "=a(a+1)/3(a-1)  \r<BR>\n" );
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