Algebra Examples

$f (- 3) = \frac{t (t - 3)}{t - 2} + \frac{4 - t}{t - 2}$

Step 1

Replace the variable $t$ with $- 3$ in the expression.

$f (- 3) = \frac{(- 3) ((- 3) - 3)}{(- 3) - 2} + \frac{4 - (- 3)}{(- 3) - 2}$

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$f (- 3) = \frac{(- 3) ((- 3) - 3) + 4 - (- 3)}{- 3 - 2}$

Step 2.2

Simplify each term.

Tap for more steps...

Step 2.2.1

Subtract $3$ from $- 3$ .

$f (- 3) = \frac{- 3 \cdot - 6 + 4 - (- 3)}{- 3 - 2}$

Step 2.2.2

Multiply $- 3$ by $- 6$ .

$f (- 3) = \frac{18 + 4 - (- 3)}{- 3 - 2}$

Step 2.2.3

Multiply $- 1$ by $- 3$ .

$f (- 3) = \frac{18 + 4 + 3}{- 3 - 2}$

Step 2.3

Simplify the expression.

Tap for more steps...

Step 2.3.1

Add $18$ and $4$ .

$f (- 3) = \frac{22 + 3}{- 3 - 2}$

Step 2.3.2

Add $22$ and $3$ .

$f (- 3) = \frac{25}{- 3 - 2}$

Step 2.3.3

Subtract $2$ from $- 3$ .

$f (- 3) = \frac{25}{- 5}$

Step 2.3.4

Divide $25$ by $- 5$ .

$f (- 3) = - 5$

Step 2.4

The final answer is $- 5$ .

$- 5$

Step 3