Answer:
x^3 -6x^2 +18x-10
Step-by-step explanation:
f-g (x) = f(x) -g(x)
f(x) = x^3 -2x^2 +12x-6
g(x) =4x^2 -6x +4
f(x) -g(x) =x^3 -2x^2 +12x-6 - (4x^2 -6x +4)
Distribute the minus sign
x^3 -2x^2 +12x-6 - 4x^2 +6x -4
Combine like terms
x^3 -2x^2- 4x^2 +12x+6x-6 -4
x^3 -6x^2 +18x-10
