F (x) = (x - 2) ² (x+1)

(x - 2) ² (x+1)

(x-2) (x-2)

multiply the two brackets together

(x) (x) = x^2

(x) (-2) = -2x

(-2) (x) = -2x

(-2) (-2) = 4

x^2-2x-2x+4

x^2-4x+4

(x^2-4x+4) (x+1)

multiply the brackets together

(x^2) (x) = x^3

(x^2) (1) = x^2

(-4x) (x) = -4x^2

(-4x) (1) = -4x

(4) (1) = 4

x^3+x^2-4x^2-4x+4x+4

Answer:

x^3-3x^2+4