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

Solution (By Examveda Team)

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