document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235274>Question 235274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify and reduce to lowest terms<BR>\n" );
document.write( "1/(&#8730;t-5)-3/(&#8730;t+5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173362 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=173362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify and reduce to lowest terms<BR>\n" );
document.write( "1/(&#8730;t-5)-3/(&#8730;t+5)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "gcd = sqrt(t-5)*sqrt(t+5) = sqrt(t^2-5)<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Rewrite each fraction with the gcd as its denominator:<BR>\n" );
document.write( "(sqrt(t+5))/gcd - 3(sqrt(t-5))/gcd\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Combine the numerators over the gcd:\r<BR>\n" );
document.write( "\n" );
document.write( "[sqrt(t+5) - 3sqrt(t-5)]/[sqrt(t^2-5)]<BR>\n" );
document.write( "================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );