To simplify the expression, we combine like terms:
A^2 - 9 / 2A^2 + 1 - 6A + 1 / A - 3 + 6A - 1 / A + 3
= (A^2 - 9 + 2A^2 - 6A + 1 + 6A - 1) / (2A^2 + A - 3 + A + 3)
= (3A^2 - 14) / (2A^2 + 2)
Therefore, the simplified expression is:
(3A^2 - 14) / (2A^2 + 2)
To simplify the expression, we combine like terms:
A^2 - 9 / 2A^2 + 1 - 6A + 1 / A - 3 + 6A - 1 / A + 3
= (A^2 - 9 + 2A^2 - 6A + 1 + 6A - 1) / (2A^2 + A - 3 + A + 3)
= (3A^2 - 14) / (2A^2 + 2)
Therefore, the simplified expression is:
(3A^2 - 14) / (2A^2 + 2)