Evaluate Using the Given Value F(2)=4(2)^3-2^2-5*2+7

$F (2) = 4 {(2)}^{3} - 2^{2} - 5 \cdot 2 + 7$

Step 1

Simplify each term.

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

$F (2) = 4 \cdot 8 - 2^{2} - 5 \cdot 2 + 7$

Multiply $4$ by $8$ .

$F (2) = 32 - 2^{2} - 5 \cdot 2 + 7$

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

$F (2) = 32 - 1 \cdot 4 - 5 \cdot 2 + 7$

Multiply $- 1$ by $4$ .

$F (2) = 32 - 4 - 5 \cdot 2 + 7$

Multiply $- 5$ by $2$ .

$F (2) = 32 - 4 - 10 + 7$

$F (2) = 32 - 4 - 10 + 7$

Step 2

Simplify by adding and subtracting.

Subtract $4$ from $32$ .

$F (2) = 28 - 10 + 7$

Subtract $10$ from $28$ .

$F (2) = 18 + 7$

Add $18$ and $7$ .

$F (2) = 25$

$F (2) = 25$

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