Evaluate Using the Given Value f(12)=2(12)^3-4*12+1

$f (12) = 2 {(12)}^{3} - 4 \cdot 12 + 1$

Step 1

Simplify each term.

Raise $12$ to the power of $3$ .

$f (12) = 2 \cdot 1728 - 4 \cdot 12 + 1$

Multiply $2$ by $1728$ .

$f (12) = 3456 - 4 \cdot 12 + 1$

Multiply $- 4$ by $12$ .

$f (12) = 3456 - 48 + 1$

Step 2

Simplify by adding and subtracting.

Subtract $48$ from $3456$ .

$f (12) = 3408 + 1$

Add $3408$ and $1$ .

$f (12) = 3409$