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 4 ? A. 1 over the quantity x plus 3 times the quantity x plus 4 B. 1 over the quantity x plus 3 times the quantity x minus 2 C. 1 over the quantity x plus 4 times the quantity x minus 2 D. 1 over the quantity x plus 3 times the quantity x plus 1

  x +1                 x^2 +5x +4              x +1                 (x +1)(x +4)  ---------------- / ---------------------- = ----------------- / ----------------------- =  x^2 +x -6             x +4                    (x +3)(x -2)               x +4        x +1                  1                     1 = ---------------- * ----------- = ------------------     (x +3)(x -2)     ( x +1)       (x +3)(x -2) so the second choice is right sure