Evaluate Using the Given Value f(-4)=(-4)^3+3(-4)^2-9*-4-13

$f (- 4) = {(- 4)}^{3} + 3 {(- 4)}^{2} - 9 \cdot - 4 - 13$

Step 1

Simplify each term.

Raise $- 4$ to the power of $3$ .

$f (- 4) = - 64 + 3 {(- 4)}^{2} - 9 \cdot - 4 - 13$

Raise $- 4$ to the power of $2$ .

$f (- 4) = - 64 + 3 \cdot 16 - 9 \cdot - 4 - 13$

Multiply $3$ by $16$ .

$f (- 4) = - 64 + 48 - 9 \cdot - 4 - 13$

Multiply $- 9$ by $- 4$ .

$f (- 4) = - 64 + 48 + 36 - 13$

Step 2

Simplify by adding and subtracting.

Add $- 64$ and $48$ .

$f (- 4) = - 16 + 36 - 13$

Add $- 16$ and $36$ .

$f (- 4) = 20 - 13$

Subtract $13$ from $20$ .

$f (- 4) = 7$