document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286253>Question 286253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm supposed to simplify this if possible. <BR>\n" );
document.write( "((1/(x+h)^2)-(1/x^2))/h<BR>\n" );
document.write( "I've tried several ways of solving this, most recently coming up with the answer (1-2xh-h^2)/(x^2h+2xh^2+h^3) but this isn't right.  Can someone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207563 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=207563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify this if possible. <BR>\n" );
document.write( "((1/(x+h)^2)-(1/x^2))/h<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "lcd = x^2(x+h)^2<BR>\n" );
document.write( "Rewrite each fraction with the lcd as its denominator:<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "[(x^2/lcd - (x+h)^2/lcd]/h<BR>\n" );
document.write( "Combiine the numerators over the lcd:<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "[x^2 -x^2-2hx-h^2]/(lcd*h)<BR>\n" );
document.write( "Simplify the numerator:<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(2hx-h^2)/(lcd*h)<BR>\n" );
document.write( "Divide by \"h\" to get:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= (2x-h)/(x^2(x+h)^2)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );