Basic Math Examples

${(- 3)}^{3} + 5 \cdot {(- 3)}^{2} + 12 \cdot (- 3) + 18$

Step 1

Simplify each term.

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Step 1.1

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

$- 27 + 5 \cdot {(- 3)}^{2} + 12 \cdot (- 3) + 18$

Step 1.2

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

$- 27 + 5 \cdot 9 + 12 \cdot (- 3) + 18$

Step 1.3

Multiply $5$ by $9$ .

$- 27 + 45 + 12 \cdot (- 3) + 18$

Step 1.4

Multiply $12$ by $- 3$ .

$- 27 + 45 - 36 + 18$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 27$ and $45$ .

$18 - 36 + 18$

Step 2.2

Subtract $36$ from $18$ .

$- 18 + 18$

Step 2.3

Add $- 18$ and $18$ .

$0$