Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

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

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Step 1.2.1

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

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Step 1.2.1.1

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

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

Step 1.2.1.2

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

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

Step 1.2.2

Add $1$ and $2$ .

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

Step 1.3

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

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

Step 1.4

Multiply $- 5$ by $2$ .

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

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $8$ and $8$ .

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

Step 2.2

Subtract $10$ from $16$ .

$f (2) = 6 - 6$

Step 2.3

Subtract $6$ from $6$ .

$f (2) = 0$