Simplify 3x(2x^2-y)

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

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Reorder.

Rewrite using the commutative property of multiplication.

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

Rewrite using the commutative property of multiplication.

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

Step 2

Simplify each term.

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

Move $x^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

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

Multiply $3$ by $2$ .

$6 x^{3} + 3 \cdot - 1 x y$

Multiply $3$ by $- 1$ .

$6 x^{3} - 3 x y$