Simplify (x+8)^3

${(x + 8)}^{3}$

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

Multiply $8$ by $3$ .

$x^{3} + 24 x^{2} + 3 x \cdot 8^{2} + 8^{3}$

Raise $8$ to the power of $2$ .

$x^{3} + 24 x^{2} + 3 x \cdot 64 + 8^{3}$

Multiply $64$ by $3$ .

$x^{3} + 24 x^{2} + 192 x + 8^{3}$

Raise $8$ to the power of $3$ .

$x^{3} + 24 x^{2} + 192 x + 512$