(7^2+1)/(7^2-1)
=(7^2+1)/[(7-1)(7+1)]
=(7^2+1)/(6*8)
=[(7+1)^2-2*7]/(6*8)
=8^2/(6*8)-(6+8)/(6*8)
=8/6-(1/8+1/6)
=1+2/6-1/8-1/6
=1+1/6-1/8
(7^2+1)/(7^2-1)
=(7^2+1)/[(7-1)(7+1)]
=(7^2+1)/(6*8)
=[(7+1)^2-2*7]/(6*8)
=8^2/(6*8)-(6+8)/(6*8)
=8/6-(1/8+1/6)
=1+2/6-1/8-1/6
=1+1/6-1/8