Finite Math Examples

$r (3) = - 0.762 {(3)}^{3} + 28.7 {(3)}^{2} - 161.3 \cdot 3 + 452.1$

Step 1

Simplify.

Tap for more steps...

Step 1.1

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

$r (3) = - 0.762 \cdot 27 + 28.7 \cdot 3^{2} - 161.3 \cdot 3 + 452.1$

Step 1.2

Multiply $- 0.762$ by $27$ .

$r (3) = - 20.574 + 28.7 \cdot 3^{2} - 161.3 \cdot 3 + 452.1$

Step 1.3

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

$r (3) = - 20.574 + 28.7 \cdot 9 - 161.3 \cdot 3 + 452.1$

Step 1.4

Multiply $28.7$ by $9$ .

$r (3) = - 20.574 + 258.3 - 161.3 \cdot 3 + 452.1$

Step 1.5

Multiply $- 161.3$ by $3$ .

$r (3) = - 20.574 + 258.3 - 483.9 + 452.1$

Step 1.6

Add $- 20.574$ and $258.3$ .

$r (3) = 237.726 - 483.9 + 452.1$

Step 1.7

Subtract $483.9$ from $237.726$ .

$r (3) = - 246.174 + 452.1$

Step 1.8

Add $- 246.174$ and $452.1$ .

$r (3) = 205.926$

Step 2

Divide each term in $r (3) = 205.926$ by $3$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $r (3) = 205.926$ by $3$ .

$\frac{r (3)}{3} = \frac{205.926}{3}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{r \cdot 3}{3} = \frac{205.926}{3}$

Step 2.2.1.2

Divide $r$ by $1$ .

$r = \frac{205.926}{3}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Divide $205.926$ by $3$ .

$r = 68.642$