Simplify (x+h)^3-x^3

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

Use the Binomial Theorem.

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

Simplify by adding terms.

Combine the opposite terms in $x^{3} + 3 x^{2} h + 3 x h^{2} + h^{3} - x^{3}$ .

Subtract $x^{3}$ from $x^{3}$ .

$3 x^{2} h + 3 x h^{2} + h^{3} + 0$

Add $3 x^{2} h + 3 x h^{2} + h^{3}$ and $0$ .

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

Reorder.

Move $x^{2}$ .

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

Move $x$ .

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