document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479530>Question 479530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: (a^-2-b^-2)/(a^-1+b^-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328555 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A=a^-2-b^-2 <BR>\n" );
document.write( "A=1/(a^2)-1/(b^2) <BR>\n" );
document.write( "Taking LCM<BR>\n" );
document.write( "A=b^2-a^2 / a^2b^2<BR>\n" );
document.write( "A=[(b-a) (b+a)]/a^2b^2<BR>\n" );
document.write( "A=[(b-a) (b+a)]/[(ab)(ab)]\r<BR>\n" );
document.write( "\n" );
document.write( "Let B=(a^-1+b^-1)<BR>\n" );
document.write( "B= (1/a+1/b)<BR>\n" );
document.write( "Taking LCM<BR>\n" );
document.write( "B = b+a/ab<BR>\n" );
document.write( "1/B=ab/(a+b)<BR>\n" );
document.write( "=A/B<BR>\n" );
document.write( "=(A) * (1/B)<BR>\n" );
document.write( "= [(b-a) (b+a)]/[(ab)(ab)] <BR>\n" );
document.write( "=[ab(b-a)(a+b)]/[(ab)(ab)(a+b)]<BR>\n" );
document.write( "=(b-a)/ab<BR>\n" );
document.write( " </SPAN>\n" );
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