What is the simplified form of x plus 1 over x squared plus x minus 6 divided by x squared plus 5x plus 4 over x plus 3?

X² + x - 6 = x² + 3 x - 2 x - 6 = x (x + 3) - 2 (x + 3) = (x + 3) (x - 2)

x² + 5 x + 4 = x² + x + 4 x + 4 = x (x + 1) + 4 (x + 1) = (x + 1) (x + 4)

(x + 1) / (x² + x - 6) : (x² + 5 x + 4) / (x + 3) =

= (x + 1) / (x² + x + 6) · (x + 3) / (x² + 5 x + 4) =

= (x + 1) / (x + 3) (x - 2) · (x + 3) / (x + 1) (x + 4) =

= 1 / (x - 2) (x + 4)