The equation whose roots are cubes of the roots of ${\mathrm{x}}^3+3{\mathrm{x}}^2+2=0$ is

$\begin{array}{l}Letf\left(x\right)=x^3+3x^2+2=0\\ \mathrm{Re}quiredEquationisf\left(\sqrt[3]{x}\right)=0\\ \Rightarrow {\left(\sqrt[3]{x}\right)}^3+3{\left(\sqrt[3]{x}\right)}^2+2=0\\ \Rightarrow x+2=-3x^{\raisebox{1ex}{$2$}\!\left/ \!\raisebox{-1ex}{$3$}\right.}\\ C.B.S\\ \Rightarrow {(x+2)}^3=-3^3.x^2\\ \Rightarrow x^3+8+6x^2+12x=-27x^2\\ \Rightarrow x^3+33x^2+12x+8=0\end{array}$