Simplify (2+h)^3

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

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.

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

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

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

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

Multiply $3$ by $4$ .

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

Multiply $3$ by $2$ .

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