If m = -4, n = -2,then the value of m3 - 3m2 + 3m + 3n + 3n2 + n3 is?

Answer: Option D

$$\begin{array}{rl}& \text{Given }m=-4,n=-2,\\ & \\ & \text{Find }{m}^3-3m^2+3m+3n+3n^2+n^3=?\\ & \\ & \text{Putting value of }m\text{ and }n\\ & \Rightarrow {\left(-4\right)}^3-3{\left(-4\right)}^2+3\left(-4\right)+3\left(-2\right)+3{\left(-2\right)}^2+{\left(-2\right)}^3\\ & \Rightarrow -64-48-12-6+12-8\\ & \Rightarrow -64-60-2\\ & \Rightarrow -126\end{array}$$