First simplify, then evaluate: 1 / (a + 1) - (a + 3) / (a ^ 2-1) * (a ^ 2-2a + 1) / (a ^ 2 + 4A + 3), where a satisfies a ^ 2 + 2a-1 = 0

First simplify, then evaluate: 1 / (a + 1) - (a + 3) / (a ^ 2-1) * (a ^ 2-2a + 1) / (a ^ 2 + 4A + 3), where a satisfies a ^ 2 + 2a-1 = 0

1 / (a + 1) - [(a + 3) / (a ^ 2-1)] * [(a ^ 2-2a + 1) / (a ^ 2 + 4A + 3)] = 1 / (a + 1) - [(a + 3) (A-1) ^ 2] / [(a + 1) ^ 2 (A-1) (a + 3)] = 1 / (a + 1) - (A-1) / (a + 1) ^ 2 = (a + 1) / (a + 1) ^ 2 - (A-1) / (a + 1) ^ 2 = [(a + 1) - (A-1) / (a + 1) ^ 2 = 2 / (a + 1) ^ 2 and a ^ 2 + 2a-1 = 0A ^ 2 + 2A + 1 = 2 (a + 1) ^