Basic Math Examples

$- {(- 2 + h)}^{3}$

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

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

$- (- 8 + 3 {(- 2)}^{2} h + 3 \cdot - 2 h^{2} + h^{3})$

Step 2.1.2

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

$- (- 8 + 3 \cdot 4 h + 3 \cdot - 2 h^{2} + h^{3})$

Step 2.1.3

Multiply $3$ by $4$ .

$- (- 8 + 12 h + 3 \cdot - 2 h^{2} + h^{3})$

Step 2.1.4

Multiply $3$ by $- 2$ .

$- (- 8 + 12 h - 6 h^{2} + h^{3})$

Step 2.2

Apply the distributive property.

$- - 8 - (12 h) - (- 6 h^{2}) - h^{3}$

Step 3

Simplify.

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Step 3.1

Multiply $- 1$ by $- 8$ .

$8 - (12 h) - (- 6 h^{2}) - h^{3}$

Step 3.2

Multiply $12$ by $- 1$ .

$8 - 12 h - (- 6 h^{2}) - h^{3}$

Step 3.3

Multiply $- 6$ by $- 1$ .

$8 - 12 h + 6 h^{2} - h^{3}$