(2x^2 + 7x + 6) / (x^2 + x - 6)
_________________________ =
(4x^2 - 9) / ( x^2 - 5x + 6)
(2x^2 + 7x + 6) (x^2 - 5x + 6)
_____________ * ___________ =
(x^2 + x - 6) (4x^2 - 9)
(2x + 3) ( x + 2) (x - 2) ( x - 3)
_____________ * ______________ =
(x + 3) ( x - 2) (2x + 3) ( 2x - 3)
(x + 2) (x - 3)
___________ You are correct !!!
(x + 3)(2x - 3)