Simplify (x-1)^3

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

Step 1

Use the Binomial Theorem.

$x^{3} + 3 x^{2} \cdot - 1 + 3 x {(- 1)}^{2} + {(- 1)}^{3}$

Step 2

Simplify each term.

Multiply $- 1$ by $3$ .

$x^{3} - 3 x^{2} + 3 x {(- 1)}^{2} + {(- 1)}^{3}$

Raise $- 1$ to the power of $2$ .

$x^{3} - 3 x^{2} + 3 x \cdot 1 + {(- 1)}^{3}$

Multiply $3$ by $1$ .

$x^{3} - 3 x^{2} + 3 x + {(- 1)}^{3}$

Raise $- 1$ to the power of $3$ .

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