Evaluate (2+x)^3

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

Use the Binomial Theorem.

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

Simplify each term.

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

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

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

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

Multiply $3$ by $4$ .

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

Multiply $3$ by $2$ .

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