Simplify (1+h)^3

${(1 + h)}^{3}$

Step 1

Use the Binomial Theorem.

$1^{3} + 3 \cdot 1^{2} h + 3 \cdot 1 h^{2} + h^{3}$

Step 2

Simplify each term.

One to any power is one.

$1 + 3 \cdot 1^{2} h + 3 \cdot 1 h^{2} + h^{3}$

One to any power is one.

$1 + 3 \cdot 1 h + 3 \cdot 1 h^{2} + h^{3}$

Multiply $3$ by $1$ .

$1 + 3 h + 3 \cdot 1 h^{2} + h^{3}$

Multiply $3$ by $1$ .

$1 + 3 h + 3 h^{2} + h^{3}$