Factor x^{3}-3x^{2}-16x+48 by grouping:

(A) (x+4)^{2} (x-3)

(B) (x + 4)(x – 4)(x – 3)

(C) (x-4)^{2} (x+3)

(D) (x-4)^{2} (x-3)

x^{3}-3x^{2}-16x+48 = x^{2} (x-3)-16(x-3)

= (x^{2}-16)(x-3)

= (x + 4)(x – 4)(x – 3)