Calculus Examples

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

Step 1

Use the Binomial Theorem.

$2^{3} + 3 \cdot 2^{2} h + 3 \cdot 2 h^{2} + h^{3}$

Step 2

Simplify each term.

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Step 2.1

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

$8 + 3 \cdot 2^{2} h + 3 \cdot 2 h^{2} + h^{3}$

Step 2.2

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

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

Step 2.3

Multiply $3$ by $4$ .

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

Step 2.4

Multiply $3$ by $2$ .

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