required to prove LHS = RHS?
assume x <> 1, (which would give a division by zero error
in the original equation anyway)
replace the 2 one's on the left (1 in the numerator and 1 in the
denomiator) with "(1 - x) / (1 - x)"
i.e.
numerator : (1 - x) / (1 - x) + (1 + x) / (1 - x)
denominator : (1 - x) / (1 - x) - (1 + x) / (1 - x)
simplify...