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

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

Step 1

Simplify each term.

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

$f (3) = 2 \cdot 27 - 3^{2} - 4 \cdot 3 + 9$

Multiply $2$ by $27$ .

$f (3) = 54 - 3^{2} - 4 \cdot 3 + 9$

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

$f (3) = 54 - 1 \cdot 9 - 4 \cdot 3 + 9$

Multiply $- 1$ by $9$ .

$f (3) = 54 - 9 - 4 \cdot 3 + 9$

Multiply $- 4$ by $3$ .

$f (3) = 54 - 9 - 12 + 9$

$f (3) = 54 - 9 - 12 + 9$

Step 2

Simplify by adding and subtracting.

Subtract $9$ from $54$ .

$f (3) = 45 - 12 + 9$

Subtract $12$ from $45$ .

$f (3) = 33 + 9$

Add $33$ and $9$ .

$f (3) = 42$

$f (3) = 42$

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