Evaluate 2(x+h)^3

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

Use the Binomial Theorem.

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

Apply the distributive property.

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

Simplify.

Multiply $3$ by $2$ .

$2 x^{3} + 6 (x^{2} h) + 2 (3 x h^{2}) + 2 h^{3}$

Multiply $3$ by $2$ .

$2 x^{3} + 6 (x^{2} h) + 6 (x h^{2}) + 2 h^{3}$

Remove parentheses.

$2 x^{3} + 6 x^{2} h + 6 x h^{2} + 2 h^{3}$