Given a + B = 2009, find the square of a + the square of B + 2b-1 / (the square of a - the square of B) + the value of a + B

Given a + B = 2009, find the square of a + the square of B + 2b-1 / (the square of a - the square of B) + the value of a + B

Answer: 2008 / 2009
It is suggested that the following questions be changed:
It is known that a + B = 2009,
Molecule: A ^ 2 + B ^ 2 + 2b-1
Denominator: (a ^ 2-B ^ 2) + A + B
Ratio