Simplify x(x^2-1)

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

Step 1

Apply the distributive property.

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

Step 2

Multiply $x$ by $x^{2}$ by adding the exponents.

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $2$ .

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

Step 3

Move $- 1$ to the left of $x$ .

$x^{3} - 1 \cdot x$

Step 4

Rewrite $- 1 x$ as $- x$ .

$x^{3} - x$