Evaluate Using the Given Value f(-6)=(-6)^3+4(-6)^2-8*-6-10

$f (- 6) = {(- 6)}^{3} + 4 {(- 6)}^{2} - 8 \cdot - 6 - 10$

Step 1

Simplify each term.

Raise $- 6$ to the power of $3$ .

$f (- 6) = - 216 + 4 {(- 6)}^{2} - 8 \cdot - 6 - 10$

Raise $- 6$ to the power of $2$ .

$f (- 6) = - 216 + 4 \cdot 36 - 8 \cdot - 6 - 10$

Multiply $4$ by $36$ .

$f (- 6) = - 216 + 144 - 8 \cdot - 6 - 10$

Multiply $- 8$ by $- 6$ .

$f (- 6) = - 216 + 144 + 48 - 10$

Step 2

Simplify by adding and subtracting.

Add $- 216$ and $144$ .

$f (- 6) = - 72 + 48 - 10$

Add $- 72$ and $48$ .

$f (- 6) = - 24 - 10$

Subtract $10$ from $- 24$ .

$f (- 6) = - 34$