Simplify x^2(4x-2y)

$x^{2} (4 x - 2 y)$

Apply the distributive property.

$x^{2} (4 x) + x^{2} (- 2 y)$

Reorder.

Rewrite using the commutative property of multiplication.

$4 x^{2} x + x^{2} (- 2 y)$

Rewrite using the commutative property of multiplication.

$4 x^{2} x - 2 x^{2} y$

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

Move $x$ .

$4 (x \cdot x^{2}) - 2 x^{2} y$

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

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

$4 (x^{1} x^{2}) - 2 x^{2} y$

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

$4 x^{1 + 2} - 2 x^{2} y$

Add $1$ and $2$ .

$4 x^{3} - 2 x^{2} y$