Evaluate Using the Given Value f(2)=(2)^3+2(2)^2-5*2-6

$f (2) = {(2)}^{3} + 2 {(2)}^{2} - 5 \cdot 2 - 6$

Step 1

Simplify each term.

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

$f (2) = 8 + 2 {(2)}^{2} - 5 \cdot 2 - 6$

Multiply $2$ by ${(2)}^{2}$ by adding the exponents.

Multiply $2$ by ${(2)}^{2}$ .

Raise $2$ to the power of $1$ .

$f (2) = 8 + 2 {(2)}^{2} - 5 \cdot 2 - 6$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$f (2) = 8 + 2^{1 + 2} - 5 \cdot 2 - 6$

Add $1$ and $2$ .

$f (2) = 8 + 2^{3} - 5 \cdot 2 - 6$

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

$f (2) = 8 + 8 - 5 \cdot 2 - 6$

Multiply $- 5$ by $2$ .

$f (2) = 8 + 8 - 10 - 6$

Step 2

Simplify by adding and subtracting.

Add $8$ and $8$ .

$f (2) = 16 - 10 - 6$

Subtract $10$ from $16$ .

$f (2) = 6 - 6$

Subtract $6$ from $6$ .

$f (2) = 0$