Evaluate Using the Given Value -x^3-3x^2+4 for x=-2

$- x^{3} - 3 x^{2} + 4$ for $x = - 2$

Replace the variable $x$ with $- 2$ in the expression.

$- {(- 2)}^{3} - 3 {(- 2)}^{2} + 4$

Simplify each term.

Raise $- 2$ to the power of $3$ .

$- - 8 - 3 {(- 2)}^{2} + 4$

Multiply $- 1$ by $- 8$ .

$8 - 3 {(- 2)}^{2} + 4$

Raise $- 2$ to the power of $2$ .

$8 - 3 \cdot 4 + 4$

Multiply $- 3$ by $4$ .

$8 - 12 + 4$

Simplify by adding and subtracting.

Subtract $12$ from $8$ .

$- 4 + 4$

Add $- 4$ and $4$ .

$0$