Precalculus Examples

$f (x) = \frac{{(5)}^{2} - (5) - 2}{{(5)}^{2} - 16}$

Step 1

Raise $5$ to the power of $2$ .

$f (x) = \frac{25 - (5) - 2}{{(5)}^{2} - 16}$

Step 2

Multiply $- 1$ by $5$ .

$f (x) = \frac{25 - 5 - 2}{{(5)}^{2} - 16}$

Step 3

Subtract $5$ from $25$ .

$f (x) = \frac{20 - 2}{{(5)}^{2} - 16}$

Step 4

Subtract $2$ from $20$ .

$f (x) = \frac{18}{{(5)}^{2} - 16}$

Step 5

Raise $5$ to the power of $2$ .

$f (x) = \frac{18}{25 - 16}$

Step 6

Subtract $16$ from $25$ .

$f (x) = \frac{18}{9}$

Step 7

Divide $18$ by $9$ .

$f (x) = 2$