Algebra Examples

f (- 2) = 3 x^{2} - x - 2

$f (- 2) = 3 x^{2} - x - 2$

Step 1

Replace the variable

x

$x$ with

- 2

$- 2$ in the expression.

f (- 2) = 3 {(- 2)}^{2} - (- 2) - 2

$f (- 2) = 3 {(- 2)}^{2} - (- 2) - 2$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raise

- 2

$- 2$ to the power of

2

$2$ .

f (- 2) = 3 \cdot 4 - (- 2) - 2

$f (- 2) = 3 \cdot 4 - (- 2) - 2$

Step 2.1.2

Multiply

3

$3$ by

4

$4$ .

f (- 2) = 12 - (- 2) - 2

$f (- 2) = 12 - (- 2) - 2$

Step 2.1.3

Multiply

- 1

$- 1$ by

- 2

$- 2$ .

f (- 2) = 12 + 2 - 2

$f (- 2) = 12 + 2 - 2$

f (- 2) = 12 + 2 - 2

$f (- 2) = 12 + 2 - 2$

Step 2.2

Simplify by adding and subtracting.

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Step 2.2.1

Add

12

$12$ and

2

$2$ .

f (- 2) = 14 - 2

$f (- 2) = 14 - 2$

Step 2.2.2

Subtract

2

$2$ from

14

$14$ .

f (- 2) = 12

$f (- 2) = 12$

f (- 2) = 12

$f (- 2) = 12$

Step 2.3

The final answer is

12

$12$ .

12

$12$

12

$12$

Step 3

f (- 2) = 3 x^{2} - x - 2

$f (- 2) = 3 x^{2} - x - 2$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$