Section MapleExamples.
Variable x y a b : R.
(**** Tactic Simplify ****)
(**** Tactic Factor ****)
(**** Tactic Expand ****)
(**** Tactic Normal ****)

Lemma norm3 :
x - y <> 0 ->
x + y <> 0 ->
x^2 - y^2 <> 0 ->
x / (x - y) + y / (x + y) + 2 * y * (y / (x^2 - y^2)) =
(x + y) / (x - y).