If I completely factored -4x^3+24x^2-36x would the answer be -4x(x-3)^2?

If I completely factored -4x^3+24x^2-36x would the answer be -4x(x-3)^2   ?

$$-4x^3+24x^2-36x \\
= -4x \cdot (x^2-6x+9) \\
= -4x \cdot (x-3)\cdot (x-3) \\
= -4x \cdot (x-3)^2 \\
= (-4)\cdot x \cdot (x-3)\cdot (x-3)$$

How about putting the middle step in. 

I want to just check it in my head and i don't want to make any mistakes.

thanx heureka