Find the Product 2x(3x^2-5)

$2 x (3 x^{2} - 5)$

Simplify by multiplying through.

Apply the distributive property.

$2 x (3 x^{2}) + 2 x \cdot - 5$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x^{2} + 2 x \cdot - 5$

Multiply $- 5$ by $2$ .

$2 \cdot 3 x \cdot x^{2} - 10 x$

Simplify each term.

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

Move $x^{2}$ .

$2 \cdot 3 (x^{2} x) - 10 x$

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

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

$2 \cdot 3 (x^{2} x^{1}) - 10 x$

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

$2 \cdot 3 x^{2 + 1} - 10 x$

Add $2$ and $1$ .

$2 \cdot 3 x^{3} - 10 x$

Multiply $2$ by $3$ .

$6 x^{3} - 10 x$