Expand the Trigonometric Expression 4x(2x-3y)

$4 x (2 x - 3 y)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$4 x (2 x) + 4 x (- 3 y)$

Reorder.

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x \cdot x + 4 x (- 3 y)$

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x \cdot x + 4 \cdot - 3 x y$

Step 2

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 \cdot 2 (x \cdot x) + 4 \cdot - 3 x y$

Multiply $x$ by $x$ .

$4 \cdot 2 x^{2} + 4 \cdot - 3 x y$

Multiply $4$ by $2$ .

$8 x^{2} + 4 \cdot - 3 x y$

Multiply $4$ by $- 3$ .

$8 x^{2} - 12 x y$