Answer
\[-44\]
Work Step by Step
Put \[x=-2\]in the given expression and simplify it as follows:
\[\begin{align}
& {{x}^{3}}-4{{\left( x-1 \right)}^{2}}={{\left( -2 \right)}^{3}}-4{{\left( -2-1 \right)}^{2}} \\
& =-8-4{{\left( -3 \right)}^{2}} \\
& =-8-36 \\
& =-44
\end{align}\]
Hence, the expression \[{{x}^{3}}-4{{\left( x-1 \right)}^{2}}\] evaluated at \[x=-2\]gives.