Find the Product -2x(x^2-3)

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

Step 1

Apply the distributive property.

$- 2 x \cdot x^{2} - 2 x \cdot - 3$

Step 2

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

Move $x^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

$- 2 x^{3} - 2 x \cdot - 3$

Step 3

Multiply $- 3$ by $- 2$ .

$- 2 x^{3} + 6 x$