Simplify (x+1)^3

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

Step 1

Use the Binomial Theorem.

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

Step 2

Simplify each term.

Multiply $3$ by $1$ .

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

One to any power is one.

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

Multiply $3$ by $1$ .

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

One to any power is one.

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