Simplify (x+2)^3

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

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

Multiply $2$ by $3$ .

$x^{3} + 6 x^{2} + 3 x \cdot 2^{2} + 2^{3}$

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

$x^{3} + 6 x^{2} + 3 x \cdot 4 + 2^{3}$

Multiply $4$ by $3$ .

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

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

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