Calculus Examples

$0.5 {(- 3)}^{3} + 5 {(- 3)}^{2} - 0.5 \cdot - 3 - 5$

Step 1

Simplify each term.

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Step 1.1

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

$0.5 \cdot - 27 + 5 {(- 3)}^{2} - 0.5 \cdot - 3 - 5$

Step 1.2

Multiply $0.5$ by $- 27$ .

$- 13.5 + 5 {(- 3)}^{2} - 0.5 \cdot - 3 - 5$

Step 1.3

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

$- 13.5 + 5 \cdot 9 - 0.5 \cdot - 3 - 5$

Step 1.4

Multiply $5$ by $9$ .

$- 13.5 + 45 - 0.5 \cdot - 3 - 5$

Step 1.5

Multiply $- 0.5$ by $- 3$ .

$- 13.5 + 45 + 1.5 - 5$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 13.5$ and $45$ .

$31.5 + 1.5 - 5$

Step 2.2

Add $31.5$ and $1.5$ .

$33 - 5$

Step 2.3

Subtract $5$ from $33$ .

$28$