Simplifying (a ^ 2-2 + 2 ^ - 2) / (a ^ 2-A ^ - 2) is a process. Thank you,

Simplifying (a ^ 2-2 + 2 ^ - 2) / (a ^ 2-A ^ - 2) is a process. Thank you,

It should be [a ^ 2-2 + A ^ (- 2)] / [a ^ 2-A ^ (- 2)] [a ^ 2-2 + A ^ (- 2)] / [a ^ 2-A ^ (- 2)] = (A-1 / a) / [(a + 1 / a) (A-1 / a)] = (A-1 / a) / [(a + 1 / a) = (A-1) / (a + 1)